256162516744000 has 448 divisors, whose sum is σ = 664794752573952. Its totient is φ = 97592242176000.

The previous prime is 256162516743997. The next prime is 256162516744019. The reversal of 256162516744000 is 447615261652.

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, 82077062440 + ... + 82077065560.

It is an arithmetic number, because the mean of its divisors is an integer number (1483916858424).

Almost surely, 2^{256162516744000} is an apocalyptic number.

256162516744000 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 256162516744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332397376286976).

256162516744000 is an abundant number, since it is smaller than the sum of its proper divisors (408632235829952).

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

256162516744000 is a wasteful number, since it uses less digits than its factorization.

256162516744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4931 (or 4911 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 256162516744000 in words is "two hundred fifty-six trillion, one hundred sixty-two billion, five hundred sixteen million, seven hundred forty-four thousand".