1255868800 has 96 divisors (see below), whose sum is σ = 3186537120. Its totient is φ = 488724480.

The previous prime is 1255868741. The next prime is 1255868813. The reversal of 1255868800 is 88685521.

1255868800 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113097 + ... + 123703.

It is an arithmetic number, because the mean of its divisors is an integer number (33193095).

Almost surely, 2^1255868800 is an apocalyptic number.

1255868800 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 1255868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593268560).

1255868800 is an abundant number, since it is smaller than the sum of its proper divisors (1930668320).

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

1255868800 is a wasteful number, since it uses less digits than its factorization.

1255868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10668 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 43.

The square root of 1255868800 is about 35438.2392339123. The cubic root of 1255868800 is about 1078.9005729916.

The spelling of 1255868800 in words is "one billion, two hundred fifty-five million, eight hundred sixty-eight thousand, eight hundred".