90727123962960 has 1600 divisors, whose sum is σ = 349444994088960. Its totient is φ = 21716225556480.

The previous prime is 90727123962919. The next prime is 90727123962983. The reversal of 90727123962960 is 6926932172709.

90727123962960 is a `hidden beast` number, since 90 + 7 + 2 + 71 + 2 + 396 + 2 + 96 + 0 = 666.

It is a super-2 number, since 2×90727123962960² (a number of 29 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 319 ways as a sum of consecutive naturals, for example, 83007432174 + ... + 83007433266.

Almost surely, 2^{90727123962960} is an apocalyptic number.

90727123962960 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 90727123962960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174722497044480).

90727123962960 is an abundant number, since it is smaller than the sum of its proper divisors (258717870126000).

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

90727123962960 is a wasteful number, since it uses less digits than its factorization.

90727123962960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 90727123962960 in words is "ninety trillion, seven hundred twenty-seven billion, one hundred twenty-three million, nine hundred sixty-two thousand, nine hundred sixty".