79529049600 has 960 divisors, whose sum is σ = 352912412160. Its totient is φ = 15246950400.

The previous prime is 79529049581. The next prime is 79529049629. The reversal of 79529049600 is 694092597.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38437366 + ... + 38439434.

It is an arithmetic number, because the mean of its divisors is an integer number (367617096).

Almost surely, 2^79529049600 is an apocalyptic number.

79529049600 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 79529049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176456206080).

79529049600 is an abundant number, since it is smaller than the sum of its proper divisors (273383362560).

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

79529049600 is a wasteful number, since it uses less digits than its factorization.

79529049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 79529049600 in words is "seventy-nine billion, five hundred twenty-nine million, forty-nine thousand, six hundred".