90057934512 has 480 divisors, whose sum is σ = 323079877120. Its totient is φ = 23648993280.

The previous prime is 90057934501. The next prime is 90057934517. The reversal of 90057934512 is 21543975009.

It is a happy number.

It is a super-2 number, since 2×90057934512² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90057934517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117110064 + ... + 117110832.

Almost surely, 2^90057934512 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 90057934512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161539938560).

90057934512 is an abundant number, since it is smaller than the sum of its proper divisors (233021942608).

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

90057934512 is a wasteful number, since it uses less digits than its factorization.

90057934512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 90057934512 in words is "ninety billion, fifty-seven million, nine hundred thirty-four thousand, five hundred twelve".