12562812864 has 252 divisors, whose sum is σ = 44353758384. Its totient is φ = 3378106368.

The previous prime is 12562812859. The next prime is 12562812919. The reversal of 12562812864 is 46821826521.

12562812864 is a `hidden beast` number, since 1 + 2 + 5 + 628 + 12 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 466717 + ... + 492899.

Almost surely, 2^12562812864 is an apocalyptic number.

12562812864 is a gapful number since it is divisible by the number (14) 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 12562812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176879192).

12562812864 is an abundant number, since it is smaller than the sum of its proper divisors (31790945520).

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

12562812864 is a wasteful number, since it uses less digits than its factorization.

12562812864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26232 (or 26212 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 12562812864 in words is "twelve billion, five hundred sixty-two million, eight hundred twelve thousand, eight hundred sixty-four".