256993352000 has 1344 divisors, whose sum is σ = 892441525248. Its totient is φ = 71368704000.

The previous prime is 256993351997. The next prime is 256993352047. The reversal of 256993352000 is 253399652.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2649415952 + ... + 2649416048.

It is an arithmetic number, because the mean of its divisors is an integer number (664018992).

Almost surely, 2^256993352000 is an apocalyptic number.

256993352000 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 256993352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446220762624).

256993352000 is an abundant number, since it is smaller than the sum of its proper divisors (635448173248).

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

256993352000 is a wasteful number, since it uses less digits than its factorization.

256993352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 44.

The spelling of 256993352000 in words is "two hundred fifty-six billion, nine hundred ninety-three million, three hundred fifty-two thousand".