256205514000 has 320 divisors, whose sum is σ = 855085271040. Its totient is φ = 65928960000.

The previous prime is 256205513999. The next prime is 256205514011. The reversal of 256205514000 is 415502652.

256205514000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72352230 + ... + 72355770.

It is an arithmetic number, because the mean of its divisors is an integer number (2672141472).

Almost surely, 2^256205514000 is an apocalyptic number.

256205514000 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 256205514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427542635520).

256205514000 is an abundant number, since it is smaller than the sum of its proper divisors (598879757040).

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

256205514000 is a wasteful number, since it uses less digits than its factorization.

256205514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 256205514000 in words is "two hundred fifty-six billion, two hundred five million, five hundred fourteen thousand".