90026065762560 has 432 divisors, whose sum is σ = 312426135840000. Its totient is φ = 23934193238016.

The previous prime is 90026065762559. The next prime is 90026065762573. The reversal of 90026065762560 is 6526756062009.

90026065762560 is a `hidden beast` number, since 9 + 0 + 0 + 2 + 6 + 0 + 6 + 5 + 7 + 625 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90026065762497 and 90026065762506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5972663184 + ... + 5972678256.

Almost surely, 2^{90026065762560} is an apocalyptic number.

90026065762560 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 90026065762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156213067920000).

90026065762560 is an abundant number, since it is smaller than the sum of its proper divisors (222400070077440).

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

90026065762560 is a wasteful number, since it uses less digits than its factorization.

90026065762560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16638 (or 16621 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 90026065762560 in words is "ninety trillion, twenty-six billion, sixty-five million, seven hundred sixty-two thousand, five hundred sixty".