12790653624 has 160 divisors (see below), whose sum is σ = 43098844800. Its totient is φ = 3462108480.

The previous prime is 12790653563. The next prime is 12790653653. The reversal of 12790653624 is 42635609721.

12790653624 is a `hidden beast` number, since 1 + 2 + 7 + 90 + 6 + 536 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12790653624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11979 + ... + 160389.

It is an arithmetic number, because the mean of its divisors is an integer number (269367780).

Almost surely, 2^12790653624 is an apocalyptic number.

12790653624 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 12790653624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21549422400).

12790653624 is an abundant number, since it is smaller than the sum of its proper divisors (30308191176).

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

12790653624 is a wasteful number, since it uses less digits than its factorization.

12790653624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148455 (or 148442 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 12790653624 in words is "twelve billion, seven hundred ninety million, six hundred fifty-three thousand, six hundred twenty-four".