12597748800 has 672 divisors, whose sum is σ = 51474038784. Its totient is φ = 2626560000.

The previous prime is 12597748753. The next prime is 12597748817. The reversal of 12597748800 is 884779521.

It is a tau number, because it is divible by the number of its divisors (672).

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, 65956705 + ... + 65956895.

It is an arithmetic number, because the mean of its divisors is an integer number (76598272).

Almost surely, 2^12597748800 is an apocalyptic number.

12597748800 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 12597748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25737019392).

12597748800 is an abundant number, since it is smaller than the sum of its proper divisors (38876289984).

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

12597748800 is a wasteful number, since it uses less digits than its factorization.

12597748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 12597748800 in words is "twelve billion, five hundred ninety-seven million, seven hundred forty-eight thousand, eight hundred".