99712591551936 has 896 divisors, whose sum is σ = 336427891430400. Its totient is φ = 28688228352000.

The previous prime is 99712591551913. The next prime is 99712591551997. The reversal of 99712591551936 is 63915519521799.

99712591551936 is a `hidden beast` number, since 9 + 9 + 7 + 12 + 5 + 91 + 5 + 519 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9416614930 + ... + 9416625518.

It is an arithmetic number, because the mean of its divisors is an integer number (375477557400).

Almost surely, 2^{99712591551936} is an apocalyptic number.

99712591551936 is a gapful number since it is divisible by the number (96) 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 99712591551936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168213945715200).

99712591551936 is an abundant number, since it is smaller than the sum of its proper divisors (236715299878464).

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

99712591551936 is a wasteful number, since it uses less digits than its factorization.

99712591551936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986 (or 10970 counting only the distinct ones).

The product of its digits is 206671500, while the sum is 72.

The spelling of 99712591551936 in words is "ninety-nine trillion, seven hundred twelve billion, five hundred ninety-one million, five hundred fifty-one thousand, nine hundred thirty-six".