90957081600 has 1056 divisors, whose sum is σ = 416684044800. Its totient is φ = 18889113600.

The previous prime is 90957081533. The next prime is 90957081601. The reversal of 90957081600 is 618075909.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is not an unprimeable number, because it can be changed into a prime (90957081601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53221546 + ... + 53223254.

Almost surely, 2^90957081600 is an apocalyptic number.

90957081600 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 90957081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208342022400).

90957081600 is an abundant number, since it is smaller than the sum of its proper divisors (325726963200).

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

90957081600 is a wasteful number, since it uses less digits than its factorization.

90957081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 90957081600 in words is "ninety billion, nine hundred fifty-seven million, eighty-one thousand, six hundred".