12764290057200 has 960 divisors, whose sum is σ = 53216641059840. Its totient is φ = 2871300096000.

The previous prime is 12764290057133. The next prime is 12764290057247. The reversal of 12764290057200 is 275009246721.

12764290057200 is a `hidden beast` number, since 1 + 2 + 76 + 4 + 2 + 9 + 0 + 0 + 572 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143347092 + ... + 143436108.

It is an arithmetic number, because the mean of its divisors is an integer number (55434001104).

Almost surely, 2^{12764290057200} is an apocalyptic number.

12764290057200 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 12764290057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26608320529920).

12764290057200 is an abundant number, since it is smaller than the sum of its proper divisors (40452351002640).

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

12764290057200 is a wasteful number, since it uses less digits than its factorization.

12764290057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89143 (or 89126 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12764290057200 in words is "twelve trillion, seven hundred sixty-four billion, two hundred ninety million, fifty-seven thousand, two hundred".