12925785600 has 1200 divisors, whose sum is σ = 59308891488. Its totient is φ = 2707292160.

The previous prime is 12925785599. The next prime is 12925785619. The reversal of 12925785600 is 658752921.

12925785600 is a `hidden beast` number, since 1 + 29 + 2 + 578 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 94348732 + ... + 94348868.

Almost surely, 2^12925785600 is an apocalyptic number.

12925785600 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 12925785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29654445744).

12925785600 is an abundant number, since it is smaller than the sum of its proper divisors (46383105888).

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

12925785600 is a wasteful number, since it uses less digits than its factorization.

12925785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12925785600 in words is "twelve billion, nine hundred twenty-five million, seven hundred eighty-five thousand, six hundred".