256886948400 has 120 divisors (see below), whose sum is σ = 827822682624. Its totient is φ = 68092934400.

The previous prime is 256886948363. The next prime is 256886948401. The reversal of 256886948400 is 4849688652.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (256886948401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440536 + ... + 841335.

Almost surely, 2^256886948400 is an apocalyptic number.

256886948400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256886948400 is an abundant number, since it is smaller than the sum of its proper divisors (570935734224).

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

256886948400 is a wasteful number, since it uses less digits than its factorization.

256886948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282059 (or 1282048 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 256886948400 in words is "two hundred fifty-six billion, eight hundred eighty-six million, nine hundred forty-eight thousand, four hundred".