12400257960 has 72 divisors (see below), whose sum is σ = 40307706270. Its totient is φ = 3306172032.

The previous prime is 12400257923. The next prime is 12400258007. The reversal of 12400257960 is 6975200421.

12400257960 is a `hidden beast` number, since 1 + 24 + 0 + 0 + 2 + 579 + 60 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4385353284 + 8014904676 = 66222^2 + 89526^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2109906 + ... + 2115774.

Almost surely, 2^12400257960 is an apocalyptic number.

12400257960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12400257960 is an abundant number, since it is smaller than the sum of its proper divisors (27907448310).

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

12400257960 is an frugal number, since it uses more digits than its factorization.

12400257960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11755 (or 5879 counting only the distinct ones).

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

The spelling of 12400257960 in words is "twelve billion, four hundred million, two hundred fifty-seven thousand, nine hundred sixty".