256052170000 has 400 divisors, whose sum is σ = 719519929920. Its totient is φ = 87264000000.

The previous prime is 256052169983. The next prime is 256052170037. The reversal of 256052170000 is 71250652.

256052170000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 211089394 + ... + 211090606.

Almost surely, 2^256052170000 is an apocalyptic number.

256052170000 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 256052170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359759964960).

256052170000 is an abundant number, since it is smaller than the sum of its proper divisors (463467759920).

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

256052170000 is a wasteful number, since it uses less digits than its factorization.

256052170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 256052170000 in words is "two hundred fifty-six billion, fifty-two million, one hundred seventy thousand".