1315484136960 has 1280 divisors, whose sum is σ = 5147670528000. Its totient is φ = 286123622400.

The previous prime is 1315484136937. The next prime is 1315484136973. The reversal of 1315484136960 is 696314845131.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7267868070 + ... + 7267868250.

It is an arithmetic number, because the mean of its divisors is an integer number (4021617600).

Almost surely, 2^{1315484136960} is an apocalyptic number.

1315484136960 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 1315484136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573835264000).

1315484136960 is an abundant number, since it is smaller than the sum of its proper divisors (3832186391040).

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

1315484136960 is an equidigital number, since it uses as much as digits as its factorization.

1315484136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 1315484136960 in words is "one trillion, three hundred fifteen billion, four hundred eighty-four million, one hundred thirty-six thousand, nine hundred sixty".