12551002560 has 168 divisors, whose sum is σ = 43225583856. Its totient is φ = 3342643200.

The previous prime is 12551002559. The next prime is 12551002571. The reversal of 12551002560 is 6520015521.

12551002560 is a `hidden beast` number, since 125 + 510 + 0 + 25 + 6 + 0 = 666.

It is a super-2 number, since 2×12551002560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2696235 + ... + 2700885.

It is an arithmetic number, because the mean of its divisors is an integer number (257295142).

Almost surely, 2^12551002560 is an apocalyptic number.

12551002560 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 12551002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21612791928).

12551002560 is an abundant number, since it is smaller than the sum of its proper divisors (30674581296).

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

12551002560 is a wasteful number, since it uses less digits than its factorization.

12551002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 12551002560 in words is "twelve billion, five hundred fifty-one million, two thousand, five hundred sixty".