90504936320 has 256 divisors, whose sum is σ = 226676232000. Its totient is φ = 34524758016.

The previous prime is 90504936307. The next prime is 90504936349. The reversal of 90504936320 is 2363940509.

It is a super-2 number, since 2×90504936320² (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 31 ways as a sum of consecutive naturals, for example, 398700047 + ... + 398700273.

Almost surely, 2^90504936320 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 90504936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113338116000).

90504936320 is an abundant number, since it is smaller than the sum of its proper divisors (136171295680).

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

90504936320 is a wasteful number, since it uses less digits than its factorization.

90504936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The spelling of 90504936320 in words is "ninety billion, five hundred four million, nine hundred thirty-six thousand, three hundred twenty".