12508735680 has 504 divisors, whose sum is σ = 50492546208. Its totient is φ = 2833883136.

The previous prime is 12508735663. The next prime is 12508735699. The reversal of 12508735680 is 8653780521.

12508735680 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 87 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19333117 + ... + 19333763.

Almost surely, 2^12508735680 is an apocalyptic number.

12508735680 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 12508735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25246273104).

12508735680 is an abundant number, since it is smaller than the sum of its proper divisors (37983810528).

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

12508735680 is a wasteful number, since it uses less digits than its factorization.

12508735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12508735680 in words is "twelve billion, five hundred eight million, seven hundred thirty-five thousand, six hundred eighty".