12573892800 has 504 divisors, whose sum is σ = 51754227200. Its totient is φ = 2835855360.

The previous prime is 12573892697. The next prime is 12573892823. The reversal of 12573892800 is 829837521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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

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, 7962411 + ... + 7963989.

Almost surely, 2^12573892800 is an apocalyptic number.

12573892800 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 12573892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25877113600).

12573892800 is an abundant number, since it is smaller than the sum of its proper divisors (39180334400).

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

12573892800 is a wasteful number, since it uses less digits than its factorization.

12573892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12573892800 in words is "twelve billion, five hundred seventy-three million, eight hundred ninety-two thousand, eight hundred".