90425735568 has 120 divisors (see below), whose sum is σ = 289319000256. Its totient is φ = 25826976000.

The previous prime is 90425735557. The next prime is 90425735591. The reversal of 90425735568 is 86553752409.

90425735568 is a `hidden beast` number, since 9 + 0 + 4 + 2 + 5 + 73 + 5 + 568 = 666.

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 23 ways as a sum of consecutive naturals, for example, 3232843 + ... + 3260693.

Almost surely, 2^90425735568 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 90425735568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144659500128).

90425735568 is an abundant number, since it is smaller than the sum of its proper divisors (198893264688).

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

90425735568 is a wasteful number, since it uses less digits than its factorization.

90425735568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31093 (or 31084 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 90425735568 in words is "ninety billion, four hundred twenty-five million, seven hundred thirty-five thousand, five hundred sixty-eight".