256450210380 has 576 divisors, whose sum is σ = 1017162252288. Its totient is φ = 52784732160.

The previous prime is 256450210333. The next prime is 256450210399. The reversal of 256450210380 is 83012054652.

256450210380 is a `hidden beast` number, since 2 + 5 + 64 + 5 + 0 + 210 + 380 = 666.

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

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, 18125589 + ... + 18139731.

It is an arithmetic number, because the mean of its divisors is an integer number (1765906688).

Almost surely, 2^256450210380 is an apocalyptic number.

256450210380 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 256450210380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508581126144).

256450210380 is an abundant number, since it is smaller than the sum of its proper divisors (760712041908).

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

256450210380 is a wasteful number, since it uses less digits than its factorization.

256450210380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14228 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 256450210380 in words is "two hundred fifty-six billion, four hundred fifty million, two hundred ten thousand, three hundred eighty".