12657609990 has 192 divisors, whose sum is σ = 35982273600. Its totient is φ = 3196537344.

The previous prime is 12657609977. The next prime is 12657610001. The reversal of 12657609990 is 9990675621.

12657609990 is a `hidden beast` number, since 1 + 26 + 5 + 7 + 609 + 9 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3733216 + ... + 3736604.

It is an arithmetic number, because the mean of its divisors is an integer number (187407675).

Almost surely, 2^12657609990 is an apocalyptic number.

12657609990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12657609990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17991136800).

12657609990 is an abundant number, since it is smaller than the sum of its proper divisors (23324663610).

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

12657609990 is a wasteful number, since it uses less digits than its factorization.

12657609990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 12657609990 in words is "twelve billion, six hundred fifty-seven million, six hundred nine thousand, nine hundred ninety".