90515935680000 has 800 divisors, whose sum is σ = 316675082735616. Its totient is φ = 22938660864000.

The previous prime is 90515935679929. The next prime is 90515935680031. The reversal of 90515935680000 is 8653951509.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×90515935680000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1527330369 + ... + 1527389631.

Almost surely, 2^{90515935680000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90515935680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158337541367808).

90515935680000 is an abundant number, since it is smaller than the sum of its proper divisors (226159147055616).

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

90515935680000 is an equidigital number, since it uses as much as digits as its factorization.

90515935680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59384 (or 59353 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 51.

The spelling of 90515935680000 in words is "ninety trillion, five hundred fifteen billion, nine hundred thirty-five million, six hundred eighty thousand".