256190254320 has 1280 divisors, whose sum is σ = 1139327078400. Its totient is φ = 45829324800.

The previous prime is 256190254291. The next prime is 256190254321. The reversal of 256190254320 is 23452091652.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256190254321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 608527710 + ... + 608528130.

It is an arithmetic number, because the mean of its divisors is an integer number (890099280).

Almost surely, 2^256190254320 is an apocalyptic number.

256190254320 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 256190254320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569663539200).

256190254320 is an abundant number, since it is smaller than the sum of its proper divisors (883136824080).

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

256190254320 is a wasteful number, since it uses less digits than its factorization.

256190254320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 256190254320 in words is "two hundred fifty-six billion, one hundred ninety million, two hundred fifty-four thousand, three hundred twenty".