12495332160 has 672 divisors, whose sum is σ = 47303448192. Its totient is φ = 3135283200.

The previous prime is 12495332149. The next prime is 12495332173. The reversal of 12495332160 is 6123359421.

12495332160 is a `hidden beast` number, since 1 + 2 + 49 + 533 + 21 + 60 = 666.

It is a super-2 number, since 2×12495332160² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123716110 + ... + 123716210.

It is an arithmetic number, because the mean of its divisors is an integer number (70392036).

Almost surely, 2^12495332160 is an apocalyptic number.

12495332160 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 12495332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23651724096).

12495332160 is an abundant number, since it is smaller than the sum of its proper divisors (34808116032).

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

12495332160 is a wasteful number, since it uses less digits than its factorization.

12495332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12495332160 in words is "twelve billion, four hundred ninety-five million, three hundred thirty-two thousand, one hundred sixty".