90951206400 has 900 divisors, whose sum is σ = 356728247172. Its totient is φ = 22977146880.

The previous prime is 90951206377. The next prime is 90951206407. The reversal of 90951206400 is 460215909.

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.

90951206400 is a `hidden beast` number, since 9 + 0 + 9 + 5 + 1 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90951206407) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4786905591 + ... + 4786905609.

Almost surely, 2^90951206400 is an apocalyptic number.

90951206400 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 90951206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178364123586).

90951206400 is an abundant number, since it is smaller than the sum of its proper divisors (265777040772).

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

90951206400 is an frugal number, since it uses more digits than its factorization.

90951206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 90951206400 in words is "ninety billion, nine hundred fifty-one million, two hundred six thousand, four hundred".