12961757160 has 512 divisors, whose sum is σ = 48572006400. Its totient is φ = 3073593600.

The previous prime is 12961757143. The next prime is 12961757161. The reversal of 12961757160 is 6175716921.

12961757160 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 17 + 571 + 60 = 666.

It is a super-2 number, since 2×12961757160² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12961757161) 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, 102061017 + ... + 102061143.

It is an arithmetic number, because the mean of its divisors is an integer number (94867200).

Almost surely, 2^12961757160 is an apocalyptic number.

12961757160 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 12961757160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24286003200).

12961757160 is an abundant number, since it is smaller than the sum of its proper divisors (35610249240).

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

12961757160 is a wasteful number, since it uses less digits than its factorization.

12961757160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 12961757160 in words is "twelve billion, nine hundred sixty-one million, seven hundred fifty-seven thousand, one hundred sixty".