79125258240 has 560 divisors, whose sum is σ = 324279597312. Its totient is φ = 18080464896.

The previous prime is 79125258217. The next prime is 79125258259. The reversal of 79125258240 is 4285252197.

79125258240 is a `hidden beast` number, since 7 + 9 + 1 + 2 + 525 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23222617 + ... + 23226023.

Almost surely, 2^79125258240 is an apocalyptic number.

79125258240 is a gapful number since it is divisible by the number (70) 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 79125258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162139798656).

79125258240 is an abundant number, since it is smaller than the sum of its proper divisors (245154339072).

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

79125258240 is an equidigital number, since it uses as much as digits as its factorization.

79125258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 79125258240 in words is "seventy-nine billion, one hundred twenty-five million, two hundred fifty-eight thousand, two hundred forty".