12653625600 has 1080 divisors, whose sum is σ = 58514879808. Its totient is φ = 2621030400.

The previous prime is 12653625587. The next prime is 12653625613. The reversal of 12653625600 is 652635621.

It is a happy number.

12653625600 is a `hidden beast` number, since 1 + 2 + 65 + 36 + 2 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12653625587) and next prime (12653625613).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×12653625600² (a number of 21 digits) contains 22 as substring.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3804 × 900 × 3696.

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, 39916642 + ... + 39916958.

Almost surely, 2^12653625600 is an apocalyptic number.

12653625600 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 12653625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29257439904).

12653625600 is an abundant number, since it is smaller than the sum of its proper divisors (45861254208).

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

12653625600 is a wasteful number, since it uses less digits than its factorization.

12653625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 12653625600 in words is "twelve billion, six hundred fifty-three million, six hundred twenty-five thousand, six hundred".