79155752256 has 448 divisors, whose sum is σ = 281794508800. Its totient is φ = 21284093952.

The previous prime is 79155752197. The next prime is 79155752261. The reversal of 79155752256 is 65225755197.

79155752256 is a `hidden beast` number, since 7 + 9 + 15 + 57 + 522 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 37460256 + ... + 37462368.

It is an arithmetic number, because the mean of its divisors is an integer number (629005600).

Almost surely, 2^79155752256 is an apocalyptic number.

79155752256 is a gapful number since it is divisible by the number (76) 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 79155752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140897254400).

79155752256 is an abundant number, since it is smaller than the sum of its proper divisors (202638756544).

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

79155752256 is a wasteful number, since it uses less digits than its factorization.

79155752256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2307 counting only the distinct ones).

The product of its digits is 6615000, while the sum is 54.

The spelling of 79155752256 in words is "seventy-nine billion, one hundred fifty-five million, seven hundred fifty-two thousand, two hundred fifty-six".