13116133870560 has 1728 divisors, whose sum is σ = 54530912741760. Its totient is φ = 2860121456640.

The previous prime is 13116133870531. The next prime is 13116133870583. The reversal of 13116133870560 is 6507833161131.

13116133870560 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 1 + 3 + 3 + 87 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36535191661 + ... + 36535192019.

It is an arithmetic number, because the mean of its divisors is an integer number (31557241170).

Almost surely, 2^{13116133870560} is an apocalyptic number.

13116133870560 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 13116133870560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27265456370880).

13116133870560 is an abundant number, since it is smaller than the sum of its proper divisors (41414778871200).

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

13116133870560 is a wasteful number, since it uses less digits than its factorization.

13116133870560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13116133870560 in words is "thirteen trillion, one hundred sixteen billion, one hundred thirty-three million, eight hundred seventy thousand, five hundred sixty".