90220656512 has 256 divisors, whose sum is σ = 215384832000. Its totient is φ = 37616947200.

The previous prime is 90220656503. The next prime is 90220656541. The reversal of 90220656512 is 21565602209.

It is a super-2 number, since 2×90220656512² (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, 321069812 + ... + 321070092.

It is an arithmetic number, because the mean of its divisors is an integer number (841347000).

Almost surely, 2^90220656512 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 90220656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107692416000).

90220656512 is an abundant number, since it is smaller than the sum of its proper divisors (125164175488).

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

90220656512 is a wasteful number, since it uses less digits than its factorization.

90220656512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 90220656512 in words is "ninety billion, two hundred twenty million, six hundred fifty-six thousand, five hundred twelve".