12874629600 has 432 divisors, whose sum is σ = 52090915968. Its totient is φ = 2931102720.

The previous prime is 12874629589. The next prime is 12874629619. The reversal of 12874629600 is 692647821.

It is a happy number.

12874629600 is a `hidden beast` number, since 12 + 8 + 7 + 4 + 6 + 29 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 23536527 + ... + 23537073.

It is an arithmetic number, because the mean of its divisors is an integer number (120580824).

Almost surely, 2^12874629600 is an apocalyptic number.

12874629600 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 12874629600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26045457984).

12874629600 is an abundant number, since it is smaller than the sum of its proper divisors (39216286368).

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

12874629600 is a wasteful number, since it uses less digits than its factorization.

12874629600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12874629600 in words is "twelve billion, eight hundred seventy-four million, six hundred twenty-nine thousand, six hundred".