1315980255744 has 640 divisors, whose sum is σ = 4916873871360. Its totient is φ = 341790658560.

The previous prime is 1315980255673. The next prime is 1315980255781. The reversal of 1315980255744 is 4475520895131.

1315980255744 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 9 + 80 + 2 + 557 + 4 + 4 = 666.

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

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, 86212657 + ... + 86227919.

It is an arithmetic number, because the mean of its divisors is an integer number (7682615424).

Almost surely, 2^{1315980255744} is an apocalyptic number.

1315980255744 is a gapful number since it is divisible by the number (14) 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 1315980255744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458436935680).

1315980255744 is an abundant number, since it is smaller than the sum of its proper divisors (3600893615616).

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

1315980255744 is an frugal number, since it uses more digits than its factorization.

1315980255744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15320 (or 15286 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 1315980255744 in words is "one trillion, three hundred fifteen billion, nine hundred eighty million, two hundred fifty-five thousand, seven hundred forty-four".