256063298400 has 1296 divisors, whose sum is σ = 1168296974208. Its totient is φ = 52254720000.

The previous prime is 256063298363. The next prime is 256063298461. The reversal of 256063298400 is 4892360652.

256063298400 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 632 + 9 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 142177500 + ... + 142179300.

Almost surely, 2^256063298400 is an apocalyptic number.

256063298400 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 256063298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584148487104).

256063298400 is an abundant number, since it is smaller than the sum of its proper divisors (912233675808).

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

256063298400 is a wasteful number, since it uses less digits than its factorization.

256063298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 256063298400 in words is "two hundred fifty-six billion, sixty-three million, two hundred ninety-eight thousand, four hundred".