13479157546560 has 896 divisors, whose sum is σ = 50748409958400. Its totient is φ = 3362217984000.

The previous prime is 13479157546537. The next prime is 13479157546633. The reversal of 13479157546560 is 6564575197431.

13479157546560 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 9 + 1 + 575 + 4 + 6 + 56 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1196971330 + ... + 1196982590.

It is an arithmetic number, because the mean of its divisors is an integer number (56638850400).

Almost surely, 2^{13479157546560} is an apocalyptic number.

13479157546560 is a gapful number since it is divisible by the number (10) 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 13479157546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25374204979200).

13479157546560 is an abundant number, since it is smaller than the sum of its proper divisors (37269252411840).

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

13479157546560 is a wasteful number, since it uses less digits than its factorization.

13479157546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11468 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 13479157546560 in words is "thirteen trillion, four hundred seventy-nine billion, one hundred fifty-seven million, five hundred forty-six thousand, five hundred sixty".