1295990784000 has 1728 divisors, whose sum is σ = 5511898409472. Its totient is φ = 289406976000.

The previous prime is 1295990783999. The next prime is 1295990784019. The reversal of 1295990784000 is 4870995921.

1295990784000 is a `hidden beast` number, since 1 + 2 + 9 + 599 + 0 + 7 + 8 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×1295990784000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27574271977 + ... + 27574272023.

It is an arithmetic number, because the mean of its divisors is an integer number (3189756024).

Almost surely, 2^{1295990784000} is an apocalyptic number.

1295990784000 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 1295990784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755949204736).

1295990784000 is an abundant number, since it is smaller than the sum of its proper divisors (4215907625472).

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

1295990784000 is an equidigital number, since it uses as much as digits as its factorization.

1295990784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1295990784000 in words is "one trillion, two hundred ninety-five billion, nine hundred ninety million, seven hundred eighty-four thousand".