12885567949800 has 1008 divisors, whose sum is σ = 55588032361440. Its totient is φ = 2718676846080.

The previous prime is 12885567949783. The next prime is 12885567949841. The reversal of 12885567949800 is 894976558821.

12885567949800 is a `hidden beast` number, since 1 + 2 + 8 + 85 + 56 + 7 + 9 + 498 + 0 + 0 = 666.

It is a super-2 number, since 2×12885567949800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 172444047 + ... + 172518753.

Almost surely, 2^{12885567949800} is an apocalyptic number.

12885567949800 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 12885567949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27794016180720).

12885567949800 is an abundant number, since it is smaller than the sum of its proper divisors (42702464411640).

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

12885567949800 is a wasteful number, since it uses less digits than its factorization.

12885567949800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74774 (or 74737 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 12885567949800 in words is "twelve trillion, eight hundred eighty-five billion, five hundred sixty-seven million, nine hundred forty-nine thousand, eight hundred".