90066532854960 has 240 divisors, whose sum is σ = 319561084103040. Its totient is φ = 22696149288960.

The previous prime is 90066532854889. The next prime is 90066532854971. The reversal of 90066532854960 is 6945823566009.

90066532854960 is a `hidden beast` number, since 9 + 0 + 0 + 6 + 6 + 5 + 3 + 28 + 549 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×90066532854960² (a number of 29 digits) contains 22 as substring.

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, 44907271 + ... + 46869990.

It is an arithmetic number, because the mean of its divisors is an integer number (1331504517096).

Almost surely, 2^{90066532854960} is an apocalyptic number.

90066532854960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90066532854960 is an abundant number, since it is smaller than the sum of its proper divisors (229494551248080).

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

90066532854960 is a wasteful number, since it uses less digits than its factorization.

90066532854960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91777356 (or 91777347 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 90066532854960 in words is "ninety trillion, sixty-six billion, five hundred thirty-two million, eight hundred fifty-four thousand, nine hundred sixty".