5645882256 has 160 divisors (see below), whose sum is σ = 16972247040. Its totient is φ = 1583981568.

The previous prime is 5645882227. The next prime is 5645882261. The reversal of 5645882256 is 6522885465.

It is a junction number, because it is equal to n+sod(n) for n = 5645882199 and 5645882208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6025020 + ... + 6025956.

It is an arithmetic number, because the mean of its divisors is an integer number (106076544).

Almost surely, 2^5645882256 is an apocalyptic number.

5645882256 is a gapful number since it is divisible by the number (56) 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 5645882256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8486123520).

5645882256 is an abundant number, since it is smaller than the sum of its proper divisors (11326364784).

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

5645882256 is a wasteful number, since it uses less digits than its factorization.

5645882256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1255 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 51.

The square root of 5645882256 is about 75139.0860737606. The cubic root of 5645882256 is about 1780.6447035518.

The spelling of 5645882256 in words is "five billion, six hundred forty-five million, eight hundred eighty-two thousand, two hundred fifty-six".