5384400056 has 64 divisors (see below), whose sum is σ = 11636049600. Its totient is φ = 2288083968.

The previous prime is 5384400031. The next prime is 5384400059. The reversal of 5384400056 is 6500044835.

It is a junction number, because it is equal to n+sod(n) for n = 5384399989 and 5384400025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5384400059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3756716 + ... + 3758148.

It is an arithmetic number, because the mean of its divisors is an integer number (181813275).

Almost surely, 2^5384400056 is an apocalyptic number.

5384400056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5384400056 is an abundant number, since it is smaller than the sum of its proper divisors (6251649544).

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

5384400056 is a wasteful number, since it uses less digits than its factorization.

5384400056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 5384400056 is about 73378.4713386699. The cubic root of 5384400056 is about 1752.7195870561.

The spelling of 5384400056 in words is "five billion, three hundred eighty-four million, four hundred thousand, fifty-six".