90520656660 has 288 divisors, whose sum is σ = 323170848000. Its totient is φ = 20499091200.

The previous prime is 90520656647. The next prime is 90520656683. The reversal of 90520656660 is 6665602509.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6722935 + ... + 6736385.

It is an arithmetic number, because the mean of its divisors is an integer number (1122121000).

Almost surely, 2^90520656660 is an apocalyptic number.

90520656660 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90520656660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161585424000).

90520656660 is an abundant number, since it is smaller than the sum of its proper divisors (232650191340).

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

90520656660 is a wasteful number, since it uses less digits than its factorization.

90520656660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13596 (or 13577 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 90520656660 in words is "ninety billion, five hundred twenty million, six hundred fifty-six thousand, six hundred sixty".