256878889019760 has 320 divisors, whose sum is σ = 911798819712000. Its totient is φ = 58604658278400.

The previous prime is 256878889019689. The next prime is 256878889019777. The reversal of 256878889019760 is 67910988878652.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5727361335 + ... + 5727406185.

It is an arithmetic number, because the mean of its divisors is an integer number (2849371311600).

Almost surely, 2^{256878889019760} is an apocalyptic number.

256878889019760 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 256878889019760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455899409856000).

256878889019760 is an abundant number, since it is smaller than the sum of its proper divisors (654919930692240).

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

256878889019760 is a wasteful number, since it uses less digits than its factorization.

256878889019760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51216 (or 51210 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 84.

The spelling of 256878889019760 in words is "two hundred fifty-six trillion, eight hundred seventy-eight billion, eight hundred eighty-nine million, nineteen thousand, seven hundred sixty".