12760070400 has 1296 divisors, whose sum is σ = 59810546880. Its totient is φ = 2632089600.

The previous prime is 12760070399. The next prime is 12760070413. The reversal of 12760070400 is 407006721.

12760070400 is a `hidden beast` number, since 12 + 7 + 600 + 7 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×12760070400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93139132 + ... + 93139268.

Almost surely, 2^12760070400 is an apocalyptic number.

12760070400 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 12760070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29905273440).

12760070400 is an abundant number, since it is smaller than the sum of its proper divisors (47050476480).

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

12760070400 is a wasteful number, since it uses less digits than its factorization.

12760070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 12760070400 in words is "twelve billion, seven hundred sixty million, seventy thousand, four hundred".