79540234329600 has 1440 divisors, whose sum is σ = 322799265524736. Its totient is φ = 19236505190400.

The previous prime is 79540234329541. The next prime is 79540234329629. The reversal of 79540234329600 is 692343204597.

79540234329600 is a `hidden beast` number, since 7 + 9 + 5 + 4 + 0 + 2 + 3 + 4 + 3 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×79540234329600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15635978257 + ... + 15635983343.

Almost surely, 2^{79540234329600} 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 79540234329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161399632762368).

79540234329600 is an abundant number, since it is smaller than the sum of its proper divisors (243259031195136).

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

79540234329600 is a wasteful number, since it uses less digits than its factorization.

79540234329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 79540234329600 in words is "seventy-nine trillion, five hundred forty billion, two hundred thirty-four million, three hundred twenty-nine thousand, six hundred".