5681254656 has 288 divisors, whose sum is σ = 19675772928. Its totient is φ = 1411153920.

The previous prime is 5681254637. The next prime is 5681254661. The reversal of 5681254656 is 6564521865.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1358040 + ... + 1362216.

It is an arithmetic number, because the mean of its divisors is an integer number (68318656).

Almost surely, 2^5681254656 is an apocalyptic number.

5681254656 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 5681254656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9837886464).

5681254656 is an abundant number, since it is smaller than the sum of its proper divisors (13994518272).

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

5681254656 is a wasteful number, since it uses less digits than its factorization.

5681254656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4223 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 48.

The square root of 5681254656 is about 75374.0980443547. The cubic root of 5681254656 is about 1784.3556437371.

The spelling of 5681254656 in words is "five billion, six hundred eighty-one million, two hundred fifty-four thousand, six hundred fifty-six".