12526520160 has 384 divisors, whose sum is σ = 49619340288. Its totient is φ = 2601984000.

The previous prime is 12526520143. The next prime is 12526520197. The reversal of 12526520160 is 6102562521.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4470760 + ... + 4473560.

It is an arithmetic number, because the mean of its divisors is an integer number (129217032).

Almost surely, 2^12526520160 is an apocalyptic number.

12526520160 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 12526520160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24809670144).

12526520160 is an abundant number, since it is smaller than the sum of its proper divisors (37092820128).

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

12526520160 is a wasteful number, since it uses less digits than its factorization.

12526520160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 12526520160 in words is "twelve billion, five hundred twenty-six million, five hundred twenty thousand, one hundred sixty".