90556032000 has 704 divisors, whose sum is σ = 350703175680. Its totient is φ = 20312064000.

The previous prime is 90556031983. The next prime is 90556032011. The reversal of 90556032000 is 23065509.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 158591715 + ... + 158592285.

It is an arithmetic number, because the mean of its divisors is an integer number (498157920).

Almost surely, 2^90556032000 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 90556032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175351587840).

90556032000 is an abundant number, since it is smaller than the sum of its proper divisors (260147143680).

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

90556032000 is a wasteful number, since it uses less digits than its factorization.

90556032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 90556032000 its reverse (23065509), we get a palindrome (90579097509).

The spelling of 90556032000 in words is "ninety billion, five hundred fifty-six million, thirty-two thousand".