90725556960 has 144 divisors (see below), whose sum is σ = 317968743456. Its totient is φ = 23539590144.

The previous prime is 90725556937. The next prime is 90725556979. The reversal of 90725556960 is 6965552709.

It is a happy number.

90725556960 is a `hidden beast` number, since 9 + 0 + 7 + 25 + 556 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×90725556960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90725556897 and 90725556906.

It is a congruent number.

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, 798124 + ... + 904683.

It is an arithmetic number, because the mean of its divisors is an integer number (2208116274).

Almost surely, 2^90725556960 is an apocalyptic number.

90725556960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90725556960 is an abundant number, since it is smaller than the sum of its proper divisors (227243186496).

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

90725556960 is a wasteful number, since it uses less digits than its factorization.

90725556960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702865 (or 1702854 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 90725556960 in words is "ninety billion, seven hundred twenty-five million, five hundred fifty-six thousand, nine hundred sixty".