79513378560 has 1296 divisors, whose sum is σ = 358779395520. Its totient is φ = 15895756800.

The previous prime is 79513378541. The next prime is 79513378583. The reversal of 79513378560 is 6587331597.

79513378560 is a `hidden beast` number, since 7 + 9 + 5 + 1 + 3 + 3 + 78 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 79513378497 and 79513378506.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 282965620 + ... + 282965900.

Almost surely, 2^79513378560 is an apocalyptic number.

79513378560 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 79513378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179389697760).

79513378560 is an abundant number, since it is smaller than the sum of its proper divisors (279266016960).

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

79513378560 is a wasteful number, since it uses less digits than its factorization.

79513378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 79513378560 in words is "seventy-nine billion, five hundred thirteen million, three hundred seventy-eight thousand, five hundred sixty".