12892493600 has 288 divisors, whose sum is σ = 37797580800. Its totient is φ = 4198487040.

The previous prime is 12892493587. The next prime is 12892493611. The reversal of 12892493600 is 639429821.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25630949 + ... + 25631451.

It is an arithmetic number, because the mean of its divisors is an integer number (131241600).

Almost surely, 2^12892493600 is an apocalyptic number.

12892493600 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 12892493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18898790400).

12892493600 is an abundant number, since it is smaller than the sum of its proper divisors (24905087200).

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

12892493600 is a wasteful number, since it uses less digits than its factorization.

12892493600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 12892493600 in words is "twelve billion, eight hundred ninety-two million, four hundred ninety-three thousand, six hundred".