12870046800 has 480 divisors, whose sum is σ = 50940072960. Its totient is φ = 3064780800.

The previous prime is 12870046789. The next prime is 12870046829. The reversal of 12870046800 is 864007821.

12870046800 is a `hidden beast` number, since 128 + 70 + 0 + 468 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4350922 + ... + 4353878.

It is an arithmetic number, because the mean of its divisors is an integer number (106125152).

Almost surely, 2^12870046800 is an apocalyptic number.

12870046800 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 12870046800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25470036480).

12870046800 is an abundant number, since it is smaller than the sum of its proper divisors (38070026160).

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

12870046800 is a wasteful number, since it uses less digits than its factorization.

12870046800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12870046800 in words is "twelve billion, eight hundred seventy million, forty-six thousand, eight hundred".