12935664000 has 768 divisors, whose sum is σ = 54560338560. Its totient is φ = 2875392000.

The previous prime is 12935663977. The next prime is 12935664023. The reversal of 12935664000 is 46653921.

It is a happy number.

12935664000 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 5 + 6 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12935663977) and next prime (12935664023).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 41327844 + ... + 41328156.

Almost surely, 2^12935664000 is an apocalyptic number.

12935664000 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 12935664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27280169280).

12935664000 is an abundant number, since it is smaller than the sum of its proper divisors (41624674560).

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

12935664000 is a wasteful number, since it uses less digits than its factorization.

12935664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12935664000 in words is "twelve billion, nine hundred thirty-five million, six hundred sixty-four thousand".