90690566400 has 1296 divisors, whose sum is σ = 399266195328. Its totient is φ = 19169280000.

The previous prime is 90690566399. The next prime is 90690566429. The reversal of 90690566400 is 466509609.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 692294335 + ... + 692294465.

It is an arithmetic number, because the mean of its divisors is an integer number (308075768).

Almost surely, 2^90690566400 is an apocalyptic number.

90690566400 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 90690566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199633097664).

90690566400 is an abundant number, since it is smaller than the sum of its proper divisors (308575628928).

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

90690566400 is a wasteful number, since it uses less digits than its factorization.

90690566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 90690566400 in words is "ninety billion, six hundred ninety million, five hundred sixty-six thousand, four hundred".