1295597464560 has 1280 divisors, whose sum is σ = 5690635776000. Its totient is φ = 264199864320.

The previous prime is 1295597464559. The next prime is 1295597464561. The reversal of 1295597464560 is 654647955921.

1295597464560 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 5 + 9 + 7 + 4 + 64 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1295597464559) and next prime (1295597464561).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295597464561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 341574024 + ... + 341577816.

It is an arithmetic number, because the mean of its divisors is an integer number (4445809200).

Almost surely, 2^{1295597464560} is an apocalyptic number.

1295597464560 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 1295597464560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845317888000).

1295597464560 is an abundant number, since it is smaller than the sum of its proper divisors (4395038311440).

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

1295597464560 is a wasteful number, since it uses less digits than its factorization.

1295597464560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 1295597464560 in words is "one trillion, two hundred ninety-five billion, five hundred ninety-seven million, four hundred sixty-four thousand, five hundred sixty".