256193724720 has 320 divisors, whose sum is σ = 816103766016. Its totient is φ = 66467143680.

The previous prime is 256193724691. The next prime is 256193724727. The reversal of 256193724720 is 27427391652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 256193724720.

It is not an unprimeable number, because it can be changed into a prime (256193724727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560598732 + ... + 560599188.

Almost surely, 2^256193724720 is an apocalyptic number.

256193724720 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 256193724720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408051883008).

256193724720 is an abundant number, since it is smaller than the sum of its proper divisors (559910041296).

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

256193724720 is a wasteful number, since it uses less digits than its factorization.

256193724720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 256193724720 in words is "two hundred fifty-six billion, one hundred ninety-three million, seven hundred twenty-four thousand, seven hundred twenty".