90517582408 has 128 divisors (see below), whose sum is σ = 193425408000. Its totient is φ = 39350949120.

The previous prime is 90517582369. The next prime is 90517582411. The reversal of 90517582408 is 80428571509.

It is a happy 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, 70771513 + ... + 70772791.

It is an arithmetic number, because the mean of its divisors is an integer number (1511136000).

Almost surely, 2^90517582408 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 90517582408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96712704000).

90517582408 is an abundant number, since it is smaller than the sum of its proper divisors (102907825592).

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

90517582408 is a wasteful number, since it uses less digits than its factorization.

90517582408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 90517582408 in words is "ninety billion, five hundred seventeen million, five hundred eighty-two thousand, four hundred eight".