96188583713040 has 2560 divisors, whose sum is σ = 443808394444800. Its totient is φ = 18572024217600.

The previous prime is 96188583712987. The next prime is 96188583713059. The reversal of 96188583713040 is 4031738588169.

96188583713040 is a `hidden beast` number, since 9 + 6 + 1 + 8 + 8 + 583 + 7 + 1 + 3 + 0 + 40 = 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 511 ways as a sum of consecutive naturals, for example, 34340799640 + ... + 34340802440.

It is an arithmetic number, because the mean of its divisors is an integer number (173362654080).

Almost surely, 2^{96188583713040} is an apocalyptic number.

96188583713040 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 96188583713040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221904197222400).

96188583713040 is an abundant number, since it is smaller than the sum of its proper divisors (347619810731760).

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

96188583713040 is a wasteful number, since it uses less digits than its factorization.

96188583713040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 96188583713040 in words is "ninety-six trillion, one hundred eighty-eight billion, five hundred eighty-three million, seven hundred thirteen thousand, forty".