79542429120 has 504 divisors, whose sum is σ = 347200624368. Its totient is φ = 16527974400.

The previous prime is 79542429091. The next prime is 79542429133. The reversal of 79542429120 is 2192424597.

79542429120 is a `hidden beast` number, since 79 + 542 + 4 + 29 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1526700 + ... + 1577940.

Almost surely, 2^79542429120 is an apocalyptic number.

79542429120 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 79542429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173600312184).

79542429120 is an abundant number, since it is smaller than the sum of its proper divisors (267658195248).

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

79542429120 is a wasteful number, since it uses less digits than its factorization.

79542429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51289 (or 51269 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 79542429120 in words is "seventy-nine billion, five hundred forty-two million, four hundred twenty-nine thousand, one hundred twenty".