13580856576 has 180 divisors, whose sum is σ = 46281245472. Its totient is φ = 3880203264.

The previous prime is 13580856533. The next prime is 13580856587. The reversal of 13580856576 is 67565808531.

13580856576 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 0 + 8 + 565 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98371 + ... + 191933.

Almost surely, 2^13580856576 is an apocalyptic number.

13580856576 is a gapful number since it is divisible by the number (16) 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 13580856576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23140622736).

13580856576 is an abundant number, since it is smaller than the sum of its proper divisors (32700388896).

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

13580856576 is an frugal number, since it uses more digits than its factorization.

13580856576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93598 (or 93575 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 13580856576 in words is "thirteen billion, five hundred eighty million, eight hundred fifty-six thousand, five hundred seventy-six".