79525892160 has 672 divisors, whose sum is σ = 331776506880. Its totient is φ = 17219174400.

The previous prime is 79525892123. The next prime is 79525892197. The reversal of 79525892160 is 6129852597.

79525892160 is a `hidden beast` number, since 7 + 9 + 52 + 589 + 2 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79525892123) and next prime (79525892197).

It is a junction number, because it is equal to n+sod(n) for n = 79525892097 and 79525892106.

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 95 ways as a sum of consecutive naturals, for example, 12763926 + ... + 12770154.

It is an arithmetic number, because the mean of its divisors is an integer number (493715040).

Almost surely, 2^79525892160 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 79525892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888253440).

79525892160 is an abundant number, since it is smaller than the sum of its proper divisors (252250614720).

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

79525892160 is a wasteful number, since it uses less digits than its factorization.

79525892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6307 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 79525892160 in words is "seventy-nine billion, five hundred twenty-five million, eight hundred ninety-two thousand, one hundred sixty".