13157320680 has 384 divisors, whose sum is σ = 51939014400. Its totient is φ = 2819874816.

The previous prime is 13157320661. The next prime is 13157320681. The reversal of 13157320680 is 8602375131.

13157320680 is a `hidden beast` number, since 1 + 3 + 1 + 573 + 2 + 0 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13157320681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17949594 + ... + 17950326.

It is an arithmetic number, because the mean of its divisors is an integer number (135257850).

Almost surely, 2^13157320680 is an apocalyptic number.

13157320680 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 13157320680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25969507200).

13157320680 is an abundant number, since it is smaller than the sum of its proper divisors (38781693720).

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

13157320680 is a wasteful number, since it uses less digits than its factorization.

13157320680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13157320680 in words is "thirteen billion, one hundred fifty-seven million, three hundred twenty thousand, six hundred eighty".