12713553600 has 1008 divisors, whose sum is σ = 51839896320. Its totient is φ = 2696601600.

The previous prime is 12713553599. The next prime is 12713553607. The reversal of 12713553600 is 635531721.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12713553607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 438398386 + ... + 438398414.

Almost surely, 2^12713553600 is an apocalyptic number.

12713553600 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 12713553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25919948160).

12713553600 is an abundant number, since it is smaller than the sum of its proper divisors (39126342720).

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

12713553600 is a wasteful number, since it uses less digits than its factorization.

12713553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The spelling of 12713553600 in words is "twelve billion, seven hundred thirteen million, five hundred fifty-three thousand, six hundred".