90390928992 has 288 divisors, whose sum is σ = 297686527488. Its totient is φ = 23510642688.

The previous prime is 90390928963. The next prime is 90390929017. The reversal of 90390928992 is 29982909309.

It is a super-2 number, since 2×90390928992² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8285013 + ... + 8295915.

It is an arithmetic number, because the mean of its divisors is an integer number (1033633776).

Almost surely, 2^90390928992 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 90390928992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148843263744).

90390928992 is an abundant number, since it is smaller than the sum of its proper divisors (207295598496).

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

90390928992 is a wasteful number, since it uses less digits than its factorization.

90390928992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11022 (or 11001 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 60.

The spelling of 90390928992 in words is "ninety billion, three hundred ninety million, nine hundred twenty-eight thousand, nine hundred ninety-two".