1255567916800 has 108 divisors (see below), whose sum is σ = 3114063952776. Its totient is φ = 501203046400.

The previous prime is 1255567916773. The next prime is 1255567916819. The reversal of 1255567916800 is 86197655521.

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, 2942622 + ... + 3342178.

Almost surely, 2^{1255567916800} is an apocalyptic number.

1255567916800 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 1255567916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557031976388).

1255567916800 is an abundant number, since it is smaller than the sum of its proper divisors (1858496035976).

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

1255567916800 is an equidigital number, since it uses as much as digits as its factorization.

1255567916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400074 (or 400055 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 55.

The spelling of 1255567916800 in words is "one trillion, two hundred fifty-five billion, five hundred sixty-seven million, nine hundred sixteen thousand, eight hundred".