90520851456000 has 3136 divisors, whose sum is σ = 410299375000320. Its totient is φ = 19454282956800.

The previous prime is 90520851455999. The next prime is 90520851456047. The reversal of 90520851456000 is 65415802509.

90520851456000 is a `hidden beast` number, since 9 + 0 + 5 + 2 + 0 + 85 + 1 + 4 + 560 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 88833023491 + ... + 88833024509.

Almost surely, 2^{90520851456000} is an apocalyptic number.

90520851456000 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 90520851456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205149687500160).

90520851456000 is an abundant number, since it is smaller than the sum of its proper divisors (319778523544320).

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

90520851456000 is an equidigital number, since it uses as much as digits as its factorization.

90520851456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 90520851456000 in words is "ninety trillion, five hundred twenty billion, eight hundred fifty-one million, four hundred fifty-six thousand".