79525118400 has 1008 divisors, whose sum is σ = 337798379520. Its totient is φ = 16218316800.

The previous prime is 79525118371. The next prime is 79525118401. The reversal of 79525118400 is 481152597.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79525118401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94785181 + ... + 94786019.

It is an arithmetic number, because the mean of its divisors is an integer number (335117440).

Almost surely, 2^79525118400 is an apocalyptic number.

79525118400 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 79525118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168899189760).

79525118400 is an abundant number, since it is smaller than the sum of its proper divisors (258273261120).

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

79525118400 is a wasteful number, since it uses less digits than its factorization.

79525118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 79525118400 in words is "seventy-nine billion, five hundred twenty-five million, one hundred eighteen thousand, four hundred".