79459015289472 has 1536 divisors, whose sum is σ = 307419840000000. Its totient is φ = 19515354292224.

The previous prime is 79459015289461. The next prime is 79459015289473. The reversal of 79459015289472 is 27498251095497.

It is a happy number.

79459015289472 is a `hidden beast` number, since 7 + 9 + 4 + 5 + 9 + 0 + 1 + 528 + 94 + 7 + 2 = 666.

It is a super-2 number, since 2×79459015289472² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 79459015289472.

It is not an unprimeable number, because it can be changed into a prime (79459015289473) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5758310029 + ... + 5758323827.

It is an arithmetic number, because the mean of its divisors is an integer number (200143125000).

Almost surely, 2^{79459015289472} is an apocalyptic number.

79459015289472 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 79459015289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153709920000000).

79459015289472 is an abundant number, since it is smaller than the sum of its proper divisors (227960824710528).

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

79459015289472 is a wasteful number, since it uses less digits than its factorization.

79459015289472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13931 (or 13902 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 79459015289472 in words is "seventy-nine trillion, four hundred fifty-nine billion, fifteen million, two hundred eighty-nine thousand, four hundred seventy-two".