8890131468960 has 384 divisors, whose sum is σ = 35633604464640. Its totient is φ = 2027854144512.

The previous prime is 8890131468943. The next prime is 8890131468989. The reversal of 8890131468960 is 698641310988.

8890131468960 is a `hidden beast` number, since 8 + 89 + 0 + 1 + 3 + 1 + 468 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14425047 + ... + 15028713.

It is an arithmetic number, because the mean of its divisors is an integer number (92795844960).

Almost surely, 2^{8890131468960} is an apocalyptic number.

8890131468960 is a gapful number since it is divisible by the number (80) 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 8890131468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17816802232320).

8890131468960 is an abundant number, since it is smaller than the sum of its proper divisors (26743472995680).

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

8890131468960 is a wasteful number, since it uses less digits than its factorization.

8890131468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604185 (or 604171 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 8890131468960 in words is "eight trillion, eight hundred ninety billion, one hundred thirty-one million, four hundred sixty-eight thousand, nine hundred sixty".