13007645816760 has 1280 divisors, whose sum is σ = 56987285667840. Its totient is φ = 2590221680640.

The previous prime is 13007645816749. The next prime is 13007645816797. The reversal of 13007645816760 is 6761854670031.

13007645816760 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 76 + 458 + 1 + 67 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13007645816697 and 13007645816706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 274880622 + ... + 274927938.

It is an arithmetic number, because the mean of its divisors is an integer number (44521316928).

Almost surely, 2^{13007645816760} is an apocalyptic number.

13007645816760 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 13007645816760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28493642833920).

13007645816760 is an abundant number, since it is smaller than the sum of its proper divisors (43979639851080).

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

13007645816760 is a wasteful number, since it uses less digits than its factorization.

13007645816760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47418 (or 47405 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 13007645816760 in words is "thirteen trillion, seven billion, six hundred forty-five million, eight hundred sixteen thousand, seven hundred sixty".