12858600960 has 200 divisors, whose sum is σ = 46056188376. Its totient is φ = 3428904960.

The previous prime is 12858600959. The next prime is 12858600973. The reversal of 12858600960 is 6900685821.

12858600960 is a `hidden beast` number, since 1 + 2 + 8 + 586 + 0 + 0 + 9 + 60 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176355 + ... + 238365.

Almost surely, 2^12858600960 is an apocalyptic number.

12858600960 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 12858600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23028094188).

12858600960 is an abundant number, since it is smaller than the sum of its proper divisors (33197587416).

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

12858600960 is an frugal number, since it uses more digits than its factorization.

12858600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62046 (or 62021 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12858600960 in words is "twelve billion, eight hundred fifty-eight million, six hundred thousand, nine hundred sixty".