12895630800 has 480 divisors, whose sum is σ = 46951661568. Its totient is φ = 3001743360.

The previous prime is 12895630753. The next prime is 12895630819. The reversal of 12895630800 is 803659821.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45567459 + ... + 45567741.

Almost surely, 2^12895630800 is an apocalyptic number.

12895630800 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 12895630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23475830784).

12895630800 is an abundant number, since it is smaller than the sum of its proper divisors (34056030768).

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

12895630800 is a wasteful number, since it uses less digits than its factorization.

12895630800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 12895630800 in words is "twelve billion, eight hundred ninety-five million, six hundred thirty thousand, eight hundred".