1295655685632 has 640 divisors, whose sum is σ = 4879366272000. Its totient is φ = 336520396800.

The previous prime is 1295655685589. The next prime is 1295655685637. The reversal of 1295655685632 is 2365865565921.

1295655685632 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 6 + 5 + 5 + 68 + 563 + 2 = 666.

It is a super-2 number, since 2×1295655685632² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1295655685632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295655685637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52145532 + ... + 52170372.

It is an arithmetic number, because the mean of its divisors is an integer number (7624009800).

Almost surely, 2^{1295655685632} is an apocalyptic number.

1295655685632 is a gapful number since it is divisible by the number (12) 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 1295655685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439683136000).

1295655685632 is an abundant number, since it is smaller than the sum of its proper divisors (3583710586368).

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

1295655685632 is an equidigital number, since it uses as much as digits as its factorization.

1295655685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24900 (or 24864 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 63.

The spelling of 1295655685632 in words is "one trillion, two hundred ninety-five billion, six hundred fifty-five million, six hundred eighty-five thousand, six hundred thirty-two".