256518006000 has 80 divisors (see below), whose sum is σ = 827014070688. Its totient is φ = 68404800000.

The previous prime is 256518005999. The next prime is 256518006001. The reversal of 256518006000 is 600815652.

It is an interprime number because it is at equal distance from previous prime (256518005999) and next prime (256518006001).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256518006001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21370501 + ... + 21382500.

Almost surely, 2^256518006000 is an apocalyptic number.

256518006000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256518006000 is an abundant number, since it is smaller than the sum of its proper divisors (570496064688).

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

256518006000 is a wasteful number, since it uses less digits than its factorization.

256518006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42753027 (or 42753011 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 256518006000 in words is "two hundred fifty-six billion, five hundred eighteen million, six thousand".