1295913615360 has 768 divisors, whose sum is σ = 5196222964800. Its totient is φ = 273357471744.

The previous prime is 1295913615299. The next prime is 1295913615413. The reversal of 1295913615360 is 635163195921.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313096171 + ... + 313100309.

Almost surely, 2^{1295913615360} is an apocalyptic number.

1295913615360 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 1295913615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598111482400).

1295913615360 is an abundant number, since it is smaller than the sum of its proper divisors (3900309349440).

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

1295913615360 is an equidigital number, since it uses as much as digits as its factorization.

1295913615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 51.

The spelling of 1295913615360 in words is "one trillion, two hundred ninety-five billion, nine hundred thirteen million, six hundred fifteen thousand, three hundred sixty".