79521560352 has 192 divisors, whose sum is σ = 252207970560. Its totient is φ = 24230264832.

The previous prime is 79521560317. The next prime is 79521560383. The reversal of 79521560352 is 25306512597.

79521560352 is a `hidden beast` number, since 7 + 9 + 52 + 1 + 560 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 79521560298 and 79521560307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1122528 + ... + 1191264.

It is an arithmetic number, because the mean of its divisors is an integer number (1313583180).

Almost surely, 2^79521560352 is an apocalyptic number.

79521560352 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 79521560352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126103985280).

79521560352 is an abundant number, since it is smaller than the sum of its proper divisors (172686410208).

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

79521560352 is a wasteful number, since it uses less digits than its factorization.

79521560352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68872 (or 68858 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 79521560352 in words is "seventy-nine billion, five hundred twenty-one million, five hundred sixty thousand, three hundred fifty-two".