12497972760 has 1280 divisors, whose sum is σ = 57373747200. Its totient is φ = 2364899328.

The previous prime is 12497972749. The next prime is 12497972819. The reversal of 12497972760 is 6727979421.

12497972760 is a `hidden beast` number, since 1 + 2 + 497 + 97 + 2 + 7 + 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 = 12497972697 and 12497972706.

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, 128845032 + ... + 128845128.

It is an arithmetic number, because the mean of its divisors is an integer number (44823240).

Almost surely, 2^12497972760 is an apocalyptic number.

12497972760 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 12497972760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28686873600).

12497972760 is an abundant number, since it is smaller than the sum of its proper divisors (44875774440).

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

12497972760 is a wasteful number, since it uses less digits than its factorization.

12497972760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 12497972760 in words is "twelve billion, four hundred ninety-seven million, nine hundred seventy-two thousand, seven hundred sixty".