90955832808960 has 1120 divisors, whose sum is σ = 382798339463232. Its totient is φ = 20282714357760.

The previous prime is 90955832808913. The next prime is 90955832808979. The reversal of 90955832808960 is 6980823855909.

90955832808960 is a `hidden beast` number, since 9 + 0 + 9 + 558 + 3 + 2 + 8 + 0 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 535525972 + ... + 535695788.

Almost surely, 2^{90955832808960} is an apocalyptic number.

90955832808960 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 90955832808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191399169731616).

90955832808960 is an abundant number, since it is smaller than the sum of its proper divisors (291842506654272).

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

90955832808960 is an equidigital number, since it uses as much as digits as its factorization.

90955832808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169906 (or 169875 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 90955832808960 in words is "ninety trillion, nine hundred fifty-five billion, eight hundred thirty-two million, eight hundred eight thousand, nine hundred sixty".