12524870160 has 320 divisors, whose sum is σ = 47388395520. Its totient is φ = 3015360000.

The previous prime is 12524870159. The next prime is 12524870161. The reversal of 12524870160 is 6107842521.

12524870160 is a `hidden beast` number, since 1 + 2 + 524 + 8 + 70 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (12524870159) and next prime (12524870161).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (12524870161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3586015 + ... + 3589505.

It is an arithmetic number, because the mean of its divisors is an integer number (148088736).

Almost surely, 2^12524870160 is an apocalyptic number.

12524870160 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 12524870160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23694197760).

12524870160 is an abundant number, since it is smaller than the sum of its proper divisors (34863525360).

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

12524870160 is a wasteful number, since it uses less digits than its factorization.

12524870160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12524870160 in words is "twelve billion, five hundred twenty-four million, eight hundred seventy thousand, one hundred sixty".