255891501418000 has 320 divisors, whose sum is σ = 712331889984000. Its totient is φ = 87092171827200.

The previous prime is 255891501417997. The next prime is 255891501418019. The reversal of 255891501418000 is 814105198552.

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 63 ways as a sum of consecutive naturals, for example, 1043059351 + ... + 1043304649.

It is an arithmetic number, because the mean of its divisors is an integer number (2226037156200).

Almost surely, 2^{255891501418000} is an apocalyptic number.

255891501418000 is a gapful number since it is divisible by the number (20) 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 255891501418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356165944992000).

255891501418000 is an abundant number, since it is smaller than the sum of its proper divisors (456440388566000).

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

255891501418000 is a wasteful number, since it uses less digits than its factorization.

255891501418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245875 (or 245859 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 49.

The spelling of 255891501418000 in words is "two hundred fifty-five trillion, eight hundred ninety-one billion, five hundred one million, four hundred eighteen thousand".