256893120000 has 2000 divisors, whose sum is σ = 1127611636272. Its totient is φ = 57507840000.

The previous prime is 256893119971. The next prime is 256893120023. The reversal of 256893120000 is 21398652.

256893120000 is a `hidden beast` number, since 2 + 568 + 93 + 1 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2000).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 4847039974 + ... + 4847040026.

Almost surely, 2^256893120000 is an apocalyptic number.

256893120000 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 256893120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563805818136).

256893120000 is an abundant number, since it is smaller than the sum of its proper divisors (870718516272).

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

256893120000 is an equidigital number, since it uses as much as digits as its factorization.

256893120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 256893120000 in words is "two hundred fifty-six billion, eight hundred ninety-three million, one hundred twenty thousand".