12756455040 has 512 divisors, whose sum is σ = 50197708800. Its totient is φ = 2690924544.

The previous prime is 12756455029. The next prime is 12756455119. The reversal of 12756455040 is 4055465721.

It is a self number, because there is not a number n which added to its sum of digits gives 12756455040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8963769 + ... + 8965191.

It is an arithmetic number, because the mean of its divisors is an integer number (98042400).

Almost surely, 2^12756455040 is an apocalyptic number.

12756455040 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 12756455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25098854400).

12756455040 is an abundant number, since it is smaller than the sum of its proper divisors (37441253760).

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

12756455040 is a wasteful number, since it uses less digits than its factorization.

12756455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 12756455040 in words is "twelve billion, seven hundred fifty-six million, four hundred fifty-five thousand, forty".