256794114720 has 1152 divisors, whose sum is σ = 1044264856320. Its totient is φ = 52110950400.

The previous prime is 256794114697. The next prime is 256794114767. The reversal of 256794114720 is 27411497652.

256794114720 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 256794114720.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1121371566 + ... + 1121371794.

It is an arithmetic number, because the mean of its divisors is an integer number (906479910).

Almost surely, 2^256794114720 is an apocalyptic number.

256794114720 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 256794114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522132428160).

256794114720 is an abundant number, since it is smaller than the sum of its proper divisors (787470741600).

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

256794114720 is a wasteful number, since it uses less digits than its factorization.

256794114720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 256794114720 in words is "two hundred fifty-six billion, seven hundred ninety-four million, one hundred fourteen thousand, seven hundred twenty".