13060770677760 has 1056 divisors, whose sum is σ = 47703354814080. Its totient is φ = 3031445274624.

The previous prime is 13060770677719. The next prime is 13060770677789. The reversal of 13060770677760 is 6777607706031.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 13060770677760.

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 95 ways as a sum of consecutive naturals, for example, 29482552099 + ... + 29482552541.

Almost surely, 2^{13060770677760} is an apocalyptic number.

13060770677760 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 13060770677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23851677407040).

13060770677760 is an abundant number, since it is smaller than the sum of its proper divisors (34642584136320).

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

13060770677760 is a wasteful number, since it uses less digits than its factorization.

13060770677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 10890936, while the sum is 57.

The spelling of 13060770677760 in words is "thirteen trillion, sixty billion, seven hundred seventy million, six hundred seventy-seven thousand, seven hundred sixty".