12562900416 has 280 divisors, whose sum is σ = 40922935680. Its totient is φ = 3779136000.

The previous prime is 12562900367. The next prime is 12562900439. The reversal of 12562900416 is 61400926521.

12562900416 is a `hidden beast` number, since 1 + 2 + 562 + 90 + 0 + 4 + 1 + 6 = 666.

12562900416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8609895 + ... + 8611353.

Almost surely, 2^12562900416 is an apocalyptic number.

12562900416 is a gapful number since it is divisible by the number (16) 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 12562900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20461467840).

12562900416 is an abundant number, since it is smaller than the sum of its proper divisors (28360035264).

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

12562900416 is a wasteful number, since it uses less digits than its factorization.

12562900416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12562900416 in words is "twelve billion, five hundred sixty-two million, nine hundred thousand, four hundred sixteen".