90596620800 has 1680 divisors, whose sum is σ = 410401738560. Its totient is φ = 19349176320.

The previous prime is 90596620721. The next prime is 90596620817. The reversal of 90596620800 is 802669509.

It is a tau number, because it is divible by the number of its divisors (1680).

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 167 ways as a sum of consecutive naturals, for example, 1241049564 + ... + 1241049636.

Almost surely, 2^90596620800 is an apocalyptic number.

90596620800 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 90596620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205200869280).

90596620800 is an abundant number, since it is smaller than the sum of its proper divisors (319805117760).

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

90596620800 is an equidigital number, since it uses as much as digits as its factorization.

90596620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 90596620800 in words is "ninety billion, five hundred ninety-six million, six hundred twenty thousand, eight hundred".