12598256160 has 768 divisors, whose sum is σ = 52951449600. Its totient is φ = 2737152000.

The previous prime is 12598256131. The next prime is 12598256219. The reversal of 12598256160 is 6165289521.

12598256160 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 8 + 25 + 616 + 0 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83432085 + ... + 83432235.

It is an arithmetic number, because the mean of its divisors is an integer number (68947200).

Almost surely, 2^12598256160 is an apocalyptic number.

12598256160 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 12598256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26475724800).

12598256160 is an abundant number, since it is smaller than the sum of its proper divisors (40353193440).

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

12598256160 is a wasteful number, since it uses less digits than its factorization.

12598256160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12598256160 in words is "twelve billion, five hundred ninety-eight million, two hundred fifty-six thousand, one hundred sixty".