12884810400 has 1152 divisors, whose sum is σ = 59516190720. Its totient is φ = 2612736000.

The previous prime is 12884810387. The next prime is 12884810417. The reversal of 12884810400 is 401848821.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101455137 + ... + 101455263.

It is an arithmetic number, because the mean of its divisors is an integer number (51663360).

Almost surely, 2^12884810400 is an apocalyptic number.

12884810400 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 12884810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29758095360).

12884810400 is an abundant number, since it is smaller than the sum of its proper divisors (46631380320).

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

12884810400 is a wasteful number, since it uses less digits than its factorization.

12884810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 12884810400 in words is "twelve billion, eight hundred eighty-four million, eight hundred ten thousand, four hundred".