79509529128960 has 1248 divisors, whose sum is σ = 318427580989440. Its totient is φ = 17975103455232.

The previous prime is 79509529128949. The next prime is 79509529128977. The reversal of 79509529128960 is 6982192590597.

79509529128960 is a `hidden beast` number, since 7 + 9 + 5 + 0 + 9 + 529 + 1 + 2 + 8 + 96 + 0 = 666.

79509529128960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78489169414 + ... + 78489170426.

It is an arithmetic number, because the mean of its divisors is an integer number (255150305280).

Almost surely, 2^{79509529128960} is an apocalyptic number.

79509529128960 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 79509529128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159213790494720).

79509529128960 is an abundant number, since it is smaller than the sum of its proper divisors (238918051860480).

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

79509529128960 is a wasteful number, since it uses less digits than its factorization.

79509529128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 79509529128960 in words is "seventy-nine trillion, five hundred nine billion, five hundred twenty-nine million, one hundred twenty-eight thousand, nine hundred sixty".