12916592640 has 832 divisors, whose sum is σ = 54351544320. Its totient is φ = 2848849920.

The previous prime is 12916592581. The next prime is 12916592651. The reversal of 12916592640 is 4629561921.

12916592640 is a `hidden beast` number, since 1 + 2 + 9 + 16 + 592 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181923805 + ... + 181923875.

Almost surely, 2^12916592640 is an apocalyptic number.

12916592640 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 12916592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27175772160).

12916592640 is an abundant number, since it is smaller than the sum of its proper divisors (41434951680).

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

12916592640 is an equidigital number, since it uses as much as digits as its factorization.

12916592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 12916592640 in words is "twelve billion, nine hundred sixteen million, five hundred ninety-two thousand, six hundred forty".