256401511350 has 96 divisors (see below), whose sum is σ = 643897537920. Its totient is φ = 67514403840.

The previous prime is 256401511337. The next prime is 256401511361. The reversal of 256401511350 is 53115104652.

256401511350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

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, 6425761 + ... + 6465539.

It is an arithmetic number, because the mean of its divisors is an integer number (6707266020).

Almost surely, 2^256401511350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256401511350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321948768960).

256401511350 is an abundant number, since it is smaller than the sum of its proper divisors (387496026570).

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

256401511350 is a wasteful number, since it uses less digits than its factorization.

256401511350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40334 (or 40329 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 256401511350 in words is "two hundred fifty-six billion, four hundred one million, five hundred eleven thousand, three hundred fifty".