12764514540800 has 432 divisors, whose sum is σ = 35025810537984. Its totient is φ = 4566481920000.

The previous prime is 12764514540793. The next prime is 12764514540851. The reversal of 12764514540800 is 804541546721.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5523371645 + ... + 5523373955.

Almost surely, 2^{12764514540800} is an apocalyptic number.

12764514540800 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 12764514540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512905268992).

12764514540800 is an abundant number, since it is smaller than the sum of its proper divisors (22261295997184).

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

12764514540800 is a wasteful number, since it uses less digits than its factorization.

12764514540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 47.

The spelling of 12764514540800 in words is "twelve trillion, seven hundred sixty-four billion, five hundred fourteen million, five hundred forty thousand, eight hundred".