12760268558400 has 2688 divisors, whose sum is σ = 55205906595840. Its totient is φ = 2836684800000.

The previous prime is 12760268558347. The next prime is 12760268558407. The reversal of 12760268558400 is 485586206721.

12760268558400 is a `hidden beast` number, since 1 + 2 + 7 + 60 + 26 + 8 + 558 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×12760268558400² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12760268558407) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22347230115 + ... + 22347230685.

It is an arithmetic number, because the mean of its divisors is an integer number (20537911680).

Almost surely, 2^{12760268558400} is an apocalyptic number.

12760268558400 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 12760268558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27602953297920).

12760268558400 is an abundant number, since it is smaller than the sum of its proper divisors (42445638037440).

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

12760268558400 is a wasteful number, since it uses less digits than its factorization.

12760268558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 12760268558400 in words is "twelve trillion, seven hundred sixty billion, two hundred sixty-eight million, five hundred fifty-eight thousand, four hundred".