79987521600 has 1008 divisors, whose sum is σ = 351155203200. Its totient is φ = 17638871040.

The previous prime is 79987521599. The next prime is 79987521631. The reversal of 79987521600 is 612578997.

79987521600 is a `hidden beast` number, since 7 + 9 + 9 + 8 + 7 + 5 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×79987521600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61386549 + ... + 61387851.

Almost surely, 2^79987521600 is an apocalyptic number.

79987521600 is a gapful number since it is divisible by the number (70) 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 79987521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175577601600).

79987521600 is an abundant number, since it is smaller than the sum of its proper divisors (271167681600).

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

79987521600 is a wasteful number, since it uses less digits than its factorization.

79987521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 79987521600 in words is "seventy-nine billion, nine hundred eighty-seven million, five hundred twenty-one thousand, six hundred".