79528269600 has 864 divisors, whose sum is σ = 320925084480. Its totient is φ = 18370437120.

The previous prime is 79528269599. The next prime is 79528269629. The reversal of 79528269600 is 696282597.

79528269600 is a `hidden beast` number, since 7 + 9 + 5 + 2 + 8 + 26 + 9 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 350344687 + ... + 350344913.

It is an arithmetic number, because the mean of its divisors is an integer number (371441070).

Almost surely, 2^79528269600 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 79528269600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160462542240).

79528269600 is an abundant number, since it is smaller than the sum of its proper divisors (241396814880).

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

79528269600 is a wasteful number, since it uses less digits than its factorization.

79528269600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 79528269600 in words is "seventy-nine billion, five hundred twenty-eight million, two hundred sixty-nine thousand, six hundred".