79257923712 has 256 divisors, whose sum is σ = 256895078400. Its totient is φ = 23856768000.

The previous prime is 79257923707. The next prime is 79257923729. The reversal of 79257923712 is 21732975297.

It is a happy number.

It is a super-2 number, since 2×79257923712² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5733513 + ... + 5747319.

It is an arithmetic number, because the mean of its divisors is an integer number (1003496400).

Almost surely, 2^79257923712 is an apocalyptic number.

79257923712 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 79257923712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128447539200).

79257923712 is an abundant number, since it is smaller than the sum of its proper divisors (177637154688).

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

79257923712 is a wasteful number, since it uses less digits than its factorization.

79257923712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13992 (or 13974 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The spelling of 79257923712 in words is "seventy-nine billion, two hundred fifty-seven million, nine hundred twenty-three thousand, seven hundred twelve".