90431498476800 has 2160 divisors, whose sum is σ = 397857020520960. Its totient is φ = 20039164231680.

The previous prime is 90431498476789. The next prime is 90431498476831. The reversal of 90431498476800 is 867489413409.

90431498476800 is a `hidden beast` number, since 9 + 0 + 43 + 1 + 49 + 8 + 476 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2635010041 + ... + 2635044359.

It is an arithmetic number, because the mean of its divisors is an integer number (184193065056).

Almost surely, 2^{90431498476800} is an apocalyptic number.

90431498476800 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 90431498476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198928510260480).

90431498476800 is an abundant number, since it is smaller than the sum of its proper divisors (307425522044160).

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

90431498476800 is a wasteful number, since it uses less digits than its factorization.

90431498476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34410 (or 34382 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 90431498476800 in words is "ninety trillion, four hundred thirty-one billion, four hundred ninety-eight million, four hundred seventy-six thousand, eight hundred".