12911475772800 has 768 divisors, whose sum is σ = 51740741952000. Its totient is φ = 3118357094400.

The previous prime is 12911475772781. The next prime is 12911475772823. The reversal of 12911475772800 is 827757411921.

12911475772800 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 1 + 47 + 577 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 255632349 + ... + 255682851.

It is an arithmetic number, because the mean of its divisors is an integer number (67370757750).

Almost surely, 2^{12911475772800} is an apocalyptic number.

12911475772800 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 12911475772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25870370976000).

12911475772800 is an abundant number, since it is smaller than the sum of its proper divisors (38829266179200).

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

12911475772800 is a wasteful number, since it uses less digits than its factorization.

12911475772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50816 (or 50793 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 12911475772800 in words is "twelve trillion, nine hundred eleven billion, four hundred seventy-five million, seven hundred seventy-two thousand, eight hundred".