90327552000 has 832 divisors, whose sum is σ = 355901964288. Its totient is φ = 19906560000.

The previous prime is 90327551999. The next prime is 90327552011. The reversal of 90327552000 is 25572309.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333311865 + ... + 333312135.

It is an arithmetic number, because the mean of its divisors is an integer number (427766784).

Almost surely, 2^90327552000 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 90327552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177950982144).

90327552000 is an abundant number, since it is smaller than the sum of its proper divisors (265574412288).

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

90327552000 is a wasteful number, since it uses less digits than its factorization.

90327552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The spelling of 90327552000 in words is "ninety billion, three hundred twenty-seven million, five hundred fifty-two thousand".