12506351616 has 384 divisors, whose sum is σ = 41867280000. Its totient is φ = 3653959680.

The previous prime is 12506351603. The next prime is 12506351633. The reversal of 12506351616 is 61615360521.

12506351616 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 6 + 35 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12506351616² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17639070 + ... + 17639778.

It is an arithmetic number, because the mean of its divisors is an integer number (109029375).

Almost surely, 2^12506351616 is an apocalyptic number.

12506351616 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 12506351616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20933640000).

12506351616 is an abundant number, since it is smaller than the sum of its proper divisors (29360928384).

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

12506351616 is a wasteful number, since it uses less digits than its factorization.

12506351616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 12506351616 in words is "twelve billion, five hundred six million, three hundred fifty-one thousand, six hundred sixteen".