5456056000 has 224 divisors, whose sum is σ = 13979347200. Its totient is φ = 2108620800.

The previous prime is 5456055977. The next prime is 5456056019. The reversal of 5456056000 is 6506545.

It is a congruent number.

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, 56247952 + ... + 56248048.

It is an arithmetic number, because the mean of its divisors is an integer number (62407800).

Almost surely, 2^5456056000 is an apocalyptic number.

5456056000 is a gapful number since it is divisible by the number (50) 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 5456056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989673600).

5456056000 is an abundant number, since it is smaller than the sum of its proper divisors (8523291200).

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

5456056000 is an equidigital number, since it uses as much as digits as its factorization.

5456056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 5456056000 is about 73865.1203207576. The cubic root of 5456056000 is about 1760.4604511516.

The spelling of 5456056000 in words is "five billion, four hundred fifty-six million, fifty-six thousand".