12778396948800 has 504 divisors, whose sum is σ = 52964964936000. Its totient is φ = 2920775316480.

The previous prime is 12778396948739. The next prime is 12778396948829. The reversal of 12778396948800 is 884969387721.

12778396948800 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 83 + 9 + 69 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×12778396948800² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3645631 + ... + 6232769.

Almost surely, 2^{12778396948800} is an apocalyptic number.

12778396948800 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 12778396948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26482482468000).

12778396948800 is an abundant number, since it is smaller than the sum of its proper divisors (40186567987200).

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

12778396948800 is a wasteful number, since it uses less digits than its factorization.

12778396948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587188 (or 2587156 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 12778396948800 in words is "twelve trillion, seven hundred seventy-eight billion, three hundred ninety-six million, nine hundred forty-eight thousand, eight hundred".