13117760628720 has 640 divisors, whose sum is σ = 49224900261888. Its totient is φ = 2850530918400.

The previous prime is 13117760628673. The next prime is 13117760628727. The reversal of 13117760628720 is 2782606771131.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13117760628727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 240484650 + ... + 240539190.

Almost surely, 2^{13117760628720} is an apocalyptic number.

13117760628720 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 13117760628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24612450130944).

13117760628720 is an abundant number, since it is smaller than the sum of its proper divisors (36107139633168).

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

13117760628720 is a wasteful number, since it uses less digits than its factorization.

13117760628720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54841 (or 54835 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 13117760628720 in words is "thirteen trillion, one hundred seventeen billion, seven hundred sixty million, six hundred twenty-eight thousand, seven hundred twenty".