1295778456576 has 528 divisors, whose sum is σ = 4066501420800. Its totient is φ = 411572109312.

The previous prime is 1295778456523. The next prime is 1295778456593. The reversal of 1295778456576 is 6756548775921.

1295778456576 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 7 + 7 + 8 + 45 + 6 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 570072976 + ... + 570075248.

Almost surely, 2^{1295778456576} is an apocalyptic number.

1295778456576 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 1295778456576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033250710400).

1295778456576 is an abundant number, since it is smaller than the sum of its proper divisors (2770722964224).

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

1295778456576 is an equidigital number, since it uses as much as digits as its factorization.

1295778456576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2386 counting only the distinct ones).

The product of its digits is 889056000, while the sum is 72.

The spelling of 1295778456576 in words is "one trillion, two hundred ninety-five billion, seven hundred seventy-eight million, four hundred fifty-six thousand, five hundred seventy-six".