12775319040 has 320 divisors, whose sum is σ = 45042117120. Its totient is φ = 3063152640.

The previous prime is 12775318987. The next prime is 12775319087. The reversal of 12775319040 is 4091357721.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 12775319040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8193781 + ... + 8195339.

It is an arithmetic number, because the mean of its divisors is an integer number (140756616).

Almost surely, 2^12775319040 is an apocalyptic number.

12775319040 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 12775319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22521058560).

12775319040 is an abundant number, since it is smaller than the sum of its proper divisors (32266798080).

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

12775319040 is a wasteful number, since it uses less digits than its factorization.

12775319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 12775319040 in words is "twelve billion, seven hundred seventy-five million, three hundred nineteen thousand, forty".