12613708800 has 1320 divisors, whose sum is σ = 58969320960. Its totient is φ = 2587852800.

The previous prime is 12613708799. The next prime is 12613708817. The reversal of 12613708800 is 880731621.

It is a tau number, because it is divible by the number of its divisors (1320).

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 119 ways as a sum of consecutive naturals, for example, 159667161 + ... + 159667239.

It is an arithmetic number, because the mean of its divisors is an integer number (44673728).

Almost surely, 2^12613708800 is an apocalyptic number.

12613708800 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 12613708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484660480).

12613708800 is an abundant number, since it is smaller than the sum of its proper divisors (46355612160).

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

12613708800 is a wasteful number, since it uses less digits than its factorization.

12613708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12613708800 in words is "twelve billion, six hundred thirteen million, seven hundred eight thousand, eight hundred".