90938568000 has 224 divisors, whose sum is σ = 343176807168. Its totient is φ = 20785920000.

The previous prime is 90938567989. The next prime is 90938568023. The reversal of 90938568000 is 86583909.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102651 + ... + 438650.

Almost surely, 2^90938568000 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 90938568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171588403584).

90938568000 is an abundant number, since it is smaller than the sum of its proper divisors (252238239168).

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

90938568000 is a wasteful number, since it uses less digits than its factorization.

90938568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541338 (or 541318 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 90938568000 in words is "ninety billion, nine hundred thirty-eight million, five hundred sixty-eight thousand".