12534874560 has 672 divisors, whose sum is σ = 49793103360. Its totient is φ = 2868535296.

The previous prime is 12534874529. The next prime is 12534874577. The reversal of 12534874560 is 6547843521.

12534874560 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 4 + 87 + 4 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47660989 + ... + 47661251.

It is an arithmetic number, because the mean of its divisors is an integer number (74096880).

Almost surely, 2^12534874560 is an apocalyptic number.

12534874560 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 12534874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24896551680).

12534874560 is an abundant number, since it is smaller than the sum of its proper divisors (37258228800).

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

12534874560 is a wasteful number, since it uses less digits than its factorization.

12534874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 12534874560 in words is "twelve billion, five hundred thirty-four million, eight hundred seventy-four thousand, five hundred sixty".