90725538168 has 96 divisors (see below), whose sum is σ = 257126257440. Its totient is φ = 28844851200.

The previous prime is 90725538119. The next prime is 90725538179. The reversal of 90725538168 is 86183552709.

90725538168 is a `hidden beast` number, since 9 + 0 + 7 + 2 + 553 + 81 + 6 + 8 = 666.

It is a super-2 number, since 2×90725538168² (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 23 ways as a sum of consecutive naturals, for example, 506968 + ... + 662168.

It is an arithmetic number, because the mean of its divisors is an integer number (2678398515).

Almost surely, 2^90725538168 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 90725538168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563128720).

90725538168 is an abundant number, since it is smaller than the sum of its proper divisors (166400719272).

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

90725538168 is a wasteful number, since it uses less digits than its factorization.

90725538168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155589 (or 155582 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 90725538168 in words is "ninety billion, seven hundred twenty-five million, five hundred thirty-eight thousand, one hundred sixty-eight".