99579916193472 has 1344 divisors, whose sum is σ = 351991974297600. Its totient is φ = 26500724490240.

The previous prime is 99579916193453. The next prime is 99579916193531. The reversal of 99579916193472 is 27439161997599.

99579916193472 is a `hidden beast` number, since 9 + 9 + 57 + 9 + 9 + 1 + 6 + 1 + 93 + 472 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 99579916193391 and 99579916193400.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81422661853 + ... + 81422663075.

It is an arithmetic number, because the mean of its divisors is an integer number (261898790400).

Almost surely, 2^{99579916193472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99579916193472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175995987148800).

99579916193472 is an abundant number, since it is smaller than the sum of its proper divisors (252412058104128).

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

99579916193472 is a wasteful number, since it uses less digits than its factorization.

99579916193472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1753 counting only the distinct ones).

The product of its digits is 2083248720, while the sum is 81.

The spelling of 99579916193472 in words is "ninety-nine trillion, five hundred seventy-nine billion, nine hundred sixteen million, one hundred ninety-three thousand, four hundred seventy-two".