90560395008 has 360 divisors, whose sum is σ = 275865189600. Its totient is φ = 29543325696.

The previous prime is 90560394983. The next prime is 90560395027. The reversal of 90560395008 is 80059306509.

90560395008 is a `hidden beast` number, since 9 + 0 + 560 + 39 + 50 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 232802878 + ... + 232803266.

Almost surely, 2^90560395008 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 90560395008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137932594800).

90560395008 is an abundant number, since it is smaller than the sum of its proper divisors (185304794592).

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

90560395008 is a wasteful number, since it uses less digits than its factorization.

90560395008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 90560395008 in words is "ninety billion, five hundred sixty million, three hundred ninety-five thousand, eight".