12766754449800 has 384 divisors, whose sum is σ = 48364629465600. Its totient is φ = 3075721390080.

The previous prime is 12766754449763. The next prime is 12766754449861. The reversal of 12766754449800 is 894445766721.

12766754449800 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 6 + 7 + 544 + 4 + 9 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 1364692 + ... + 5234108.

It is an arithmetic number, because the mean of its divisors is an integer number (125949555900).

Almost surely, 2^{12766754449800} is an apocalyptic number.

12766754449800 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 12766754449800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24182314732800).

12766754449800 is an abundant number, since it is smaller than the sum of its proper divisors (35597875015800).

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

12766754449800 is a wasteful number, since it uses less digits than its factorization.

12766754449800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869502 (or 3869487 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 12766754449800 in words is "twelve trillion, seven hundred sixty-six billion, seven hundred fifty-four million, four hundred forty-nine thousand, eight hundred".