256788154350 has 1152 divisors, whose sum is σ = 946547417088. Its totient is φ = 48372940800.

The previous prime is 256788154327. The next prime is 256788154379. The reversal of 256788154350 is 53451887652.

256788154350 is a `hidden beast` number, since 2 + 5 + 67 + 88 + 154 + 350 = 666.

256788154350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1575387369 + ... + 1575387531.

It is an arithmetic number, because the mean of its divisors is an integer number (821655744).

Almost surely, 2^256788154350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256788154350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473273708544).

256788154350 is an abundant number, since it is smaller than the sum of its proper divisors (689759262738).

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

256788154350 is a wasteful number, since it uses less digits than its factorization.

256788154350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 256788154350 in words is "two hundred fifty-six billion, seven hundred eighty-eight million, one hundred fifty-four thousand, three hundred fifty".