256521958000 has 960 divisors, whose sum is σ = 826903074816. Its totient is φ = 76043520000.

The previous prime is 256521957949. The next prime is 256521958003. The reversal of 256521958000 is 859125652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256521958003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3090625959 + ... + 3090626041.

Almost surely, 2^256521958000 is an apocalyptic number.

256521958000 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 256521958000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413451537408).

256521958000 is an abundant number, since it is smaller than the sum of its proper divisors (570381116816).

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

256521958000 is a wasteful number, since it uses less digits than its factorization.

256521958000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 43.

The spelling of 256521958000 in words is "two hundred fifty-six billion, five hundred twenty-one million, nine hundred fifty-eight thousand".