1295965623456 has 576 divisors, whose sum is σ = 4731630059520. Its totient is φ = 327532584960.

The previous prime is 1295965623451. The next prime is 1295965623461. The reversal of 1295965623456 is 6543265695921.

It is a happy number.

1295965623456 is a `hidden beast` number, since 1 + 2 + 9 + 596 + 5 + 6 + 2 + 34 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1295965623451) and next prime (1295965623461).

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

It is a junction number, because it is equal to n+sod(n) for n = 1295965623393 and 1295965623402.

It is not an unprimeable number, because it can be changed into a prime (1295965623451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82690501 + ... + 82706171.

It is an arithmetic number, because the mean of its divisors is an integer number (8214635520).

Almost surely, 2^{1295965623456} is an apocalyptic number.

1295965623456 is a gapful number since it is divisible by the number (16) 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 1295965623456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365815029760).

1295965623456 is an abundant number, since it is smaller than the sum of its proper divisors (3435664436064).

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

1295965623456 is a wasteful number, since it uses less digits than its factorization.

1295965623456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15857 (or 15846 counting only the distinct ones).

The product of its digits is 104976000, while the sum is 63.

The spelling of 1295965623456 in words is "one trillion, two hundred ninety-five billion, nine hundred sixty-five million, six hundred twenty-three thousand, four hundred fifty-six".