1295724883200 has 432 divisors, whose sum is σ = 4724014310400. Its totient is φ = 310134988800.

The previous prime is 1295724883199. The next prime is 1295724883267. The reversal of 1295724883200 is 23884275921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16645971 + ... + 16723629.

Almost surely, 2^{1295724883200} is an apocalyptic number.

1295724883200 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 1295724883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362007155200).

1295724883200 is an abundant number, since it is smaller than the sum of its proper divisors (3428289427200).

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

1295724883200 is a wasteful number, since it uses less digits than its factorization.

1295724883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77778 (or 77759 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 1295724883200 in words is "one trillion, two hundred ninety-five billion, seven hundred twenty-four million, eight hundred eighty-three thousand, two hundred".