12516403680 has 576 divisors, whose sum is σ = 50324234688. Its totient is φ = 2798714880.

The previous prime is 12516403673. The next prime is 12516403693. The reversal of 12516403680 is 8630461521.

It is a happy number.

12516403680 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 640 + 3 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×12516403680² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14271402 + ... + 14272278.

It is an arithmetic number, because the mean of its divisors is an integer number (87368463).

Almost surely, 2^12516403680 is an apocalyptic number.

12516403680 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 12516403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162117344).

12516403680 is an abundant number, since it is smaller than the sum of its proper divisors (37807831008).

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

12516403680 is a wasteful number, since it uses less digits than its factorization.

12516403680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 1251640 and 3680, that added together give a triangular number (1255320 = T₁₅₈₄).

The spelling of 12516403680 in words is "twelve billion, five hundred sixteen million, four hundred three thousand, six hundred eighty".