90170956512 has 768 divisors, whose sum is σ = 340178227200. Its totient is φ = 22597263360.

The previous prime is 90170956501. The next prime is 90170956529. The reversal of 90170956512 is 21565907109.

90170956512 is a `hidden beast` number, since 9 + 0 + 1 + 70 + 9 + 565 + 12 = 666.

It is a super-3 number, since 3×90170956512³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161886538 + ... + 161887094.

It is an arithmetic number, because the mean of its divisors is an integer number (442940400).

Almost surely, 2^90170956512 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 90170956512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170089113600).

90170956512 is an abundant number, since it is smaller than the sum of its proper divisors (250007270688).

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

90170956512 is a wasteful number, since it uses less digits than its factorization.

90170956512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 90170956512 in words is "ninety billion, one hundred seventy million, nine hundred fifty-six thousand, five hundred twelve".