79887552696 has 256 divisors, whose sum is σ = 256413696000. Its totient is φ = 22574039040.

The previous prime is 79887552691. The next prime is 79887552697. The reversal of 79887552696 is 69625578897.

79887552696 is a `hidden beast` number, since 7 + 9 + 8 + 8 + 7 + 5 + 526 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79887552691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103884600 + ... + 103885368.

It is an arithmetic number, because the mean of its divisors is an integer number (1001616000).

Almost surely, 2^79887552696 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 79887552696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128206848000).

79887552696 is an abundant number, since it is smaller than the sum of its proper divisors (176526143304).

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

79887552696 is a wasteful number, since it uses less digits than its factorization.

79887552696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1449 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 79887552696 in words is "seventy-nine billion, eight hundred eighty-seven million, five hundred fifty-two thousand, six hundred ninety-six".