256254835140 has 120 divisors (see below), whose sum is σ = 804362697600. Its totient is φ = 68293668672.

The previous prime is 256254835129. The next prime is 256254835231. The reversal of 256254835140 is 41538452652.

256254835140 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 54 + 83 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2705829 + ... + 2798931.

It is an arithmetic number, because the mean of its divisors is an integer number (6703022480).

Almost surely, 2^256254835140 is an apocalyptic number.

256254835140 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 256254835140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402181348800).

256254835140 is an abundant number, since it is smaller than the sum of its proper divisors (548107862460).

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

256254835140 is a wasteful number, since it uses less digits than its factorization.

256254835140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94823 (or 94812 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 256254835140 in words is "two hundred fifty-six billion, two hundred fifty-four million, eight hundred thirty-five thousand, one hundred forty".