256516057623000 has 256 divisors, whose sum is σ = 915227351101440. Its totient is φ = 58596063552000.

The previous prime is 256516057622939. The next prime is 256516057623017. The reversal of 256516057623000 is 326750615652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30273249 + ... + 37808751.

It is an arithmetic number, because the mean of its divisors is an integer number (3575106840240).

Almost surely, 2^{256516057623000} is an apocalyptic number.

256516057623000 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 256516057623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457613675550720).

256516057623000 is an abundant number, since it is smaller than the sum of its proper divisors (658711293478440).

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

256516057623000 is a wasteful number, since it uses less digits than its factorization.

256516057623000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7537155 (or 7537141 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 256516057623000 in words is "two hundred fifty-six trillion, five hundred sixteen billion, fifty-seven million, six hundred twenty-three thousand".