1255807815600 has 240 divisors, whose sum is σ = 4333232245664. Its totient is φ = 309049344000.

The previous prime is 1255807815589. The next prime is 1255807815617. The reversal of 1255807815600 is 65187085521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1255807815600.

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, 101097390 + ... + 101109810.

Almost surely, 2^{1255807815600} is an apocalyptic number.

1255807815600 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 1255807815600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166616122832).

1255807815600 is an abundant number, since it is smaller than the sum of its proper divisors (3077424430064).

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

1255807815600 is a wasteful number, since it uses less digits than its factorization.

1255807815600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18936 (or 18925 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 48.

The spelling of 1255807815600 in words is "one trillion, two hundred fifty-five billion, eight hundred seven million, eight hundred fifteen thousand, six hundred".