256040666551120 has 320 divisors, whose sum is σ = 670014460329984. Its totient is φ = 90188387573760.

The previous prime is 256040666551093. The next prime is 256040666551133. The reversal of 256040666551120 is 21155666040652.

It is a Sastry number since concatenated with its successor gives a square.

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, 13950879864 + ... + 13950898216.

Almost surely, 2^{256040666551120} is an apocalyptic number.

256040666551120 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 256040666551120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335007230164992).

256040666551120 is an abundant number, since it is smaller than the sum of its proper divisors (413973793778864).

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

256040666551120 is a wasteful number, since it uses less digits than its factorization.

256040666551120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21450 (or 21444 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 256040666551120 in words is "two hundred fifty-six trillion, forty billion, six hundred sixty-six million, five hundred fifty-one thousand, one hundred twenty".