1295249764160 has 112 divisors (see below), whose sum is σ = 3365297409600. Its totient is φ = 470917079040.

The previous prime is 1295249764129. The next prime is 1295249764163. The reversal of 1295249764160 is 614679425921.

It is a junction number, because it is equal to n+sod(n) for n = 1295249764096 and 1295249764105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295249764163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22143272 + ... + 22201688.

It is an arithmetic number, because the mean of its divisors is an integer number (30047298300).

Almost surely, 2^{1295249764160} is an apocalyptic number.

1295249764160 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 1295249764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682648704800).

1295249764160 is an abundant number, since it is smaller than the sum of its proper divisors (2070047645440).

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

1295249764160 is a wasteful number, since it uses less digits than its factorization.

1295249764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64744 (or 64734 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 1295249764160 in words is "one trillion, two hundred ninety-five billion, two hundred forty-nine million, seven hundred sixty-four thousand, one hundred sixty".