12657939840 has 1536 divisors, whose sum is σ = 59880038400. Its totient is φ = 2388787200.

The previous prime is 12657939829. The next prime is 12657939851. The reversal of 12657939840 is 4893975621.

12657939840 is a `hidden beast` number, since 1 + 26 + 579 + 3 + 9 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12657939829) and next prime (12657939851).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 308730220 + ... + 308730260.

It is an arithmetic number, because the mean of its divisors is an integer number (38984400).

It is a 1-persistent number, because it is pandigital, but 2⋅12657939840 = 25315879680 is not.

Almost surely, 2^12657939840 is an apocalyptic number.

12657939840 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 12657939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29940019200).

12657939840 is an abundant number, since it is smaller than the sum of its proper divisors (47222098560).

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

12657939840 is a wasteful number, since it uses less digits than its factorization.

12657939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 12657939840 in words is "twelve billion, six hundred fifty-seven million, nine hundred thirty-nine thousand, eight hundred forty".