90596966400 has 336 divisors, whose sum is σ = 332859964200. Its totient is φ = 24159191040.

The previous prime is 90596966393. The next prime is 90596966407. The reversal of 90596966400 is 466969509.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 5! ⋅ (2!)²⁰.

90596966400 is a `hidden beast` number, since 9 + 0 + 596 + 9 + 6 + 6 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90596966393) and next prime (90596966407).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90596966407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18119393278 + ... + 18119393282.

Almost surely, 2^90596966400 is an apocalyptic number.

90596966400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90596966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166429982100).

90596966400 is an abundant number, since it is smaller than the sum of its proper divisors (242262997800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90596966400 is an frugal number, since it uses more digits than its factorization.

90596966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

Multiplying 90596966400 by its sum of digits (54), we get a square (4892236185600 = 2211840²).

90596966400 divided by its sum of digits (54) gives a square (1677721600 = 40960²).

The spelling of 90596966400 in words is "ninety billion, five hundred ninety-six million, nine hundred sixty-six thousand, four hundred".