79317753252192 has 720 divisors, whose sum is σ = 292432590993312. Its totient is φ = 20904465899520.

The previous prime is 79317753252149. The next prime is 79317753252193. The reversal of 79317753252192 is 29125235771397.

It is a happy number.

79317753252192 is a `hidden beast` number, since 7 + 9 + 3 + 1 + 7 + 7 + 532 + 5 + 2 + 1 + 92 = 666.

It is a super-2 number, since 2×79317753252192² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79317753252193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2494802248 + ... + 2494834040.

Almost surely, 2^{79317753252192} is an apocalyptic number.

79317753252192 is a gapful number since it is divisible by the number (72) 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 79317753252192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146216295496656).

79317753252192 is an abundant number, since it is smaller than the sum of its proper divisors (213114837741120).

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

79317753252192 is a wasteful number, since it uses less digits than its factorization.

79317753252192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33353 (or 33329 counting only the distinct ones).

The product of its digits is 50009400, while the sum is 63.

The spelling of 79317753252192 in words is "seventy-nine trillion, three hundred seventeen billion, seven hundred fifty-three million, two hundred fifty-two thousand, one hundred ninety-two".