12495856988160 has 4160 divisors, whose sum is σ = 59462854133760. Its totient is φ = 2438473973760.

The previous prime is 12495856988081. The next prime is 12495856988177. The reversal of 12495856988160 is 6188965859421.

12495856988160 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 58 + 569 + 8 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a super-2 number, since 2×12495856988160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 204850114530 + ... + 204850114590.

Almost surely, 2^{12495856988160} is an apocalyptic number.

12495856988160 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 12495856988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29731427066880).

12495856988160 is an abundant number, since it is smaller than the sum of its proper divisors (46966997145600).

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

12495856988160 is a wasteful number, since it uses less digits than its factorization.

12495856988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 12495856988160 in words is "twelve trillion, four hundred ninety-five billion, eight hundred fifty-six million, nine hundred eighty-eight thousand, one hundred sixty".