56005503400 has 144 divisors (see below), whose sum is σ = 163573593120. Its totient is φ = 17456208000.

The previous prime is 56005503329. The next prime is 56005503403. The reversal of 56005503400 is 430550065.

It is a super-2 number, since 2×56005503400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (56005503403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4095 + ... + 334705.

It is an arithmetic number, because the mean of its divisors is an integer number (1135927730).

Almost surely, 2^56005503400 is an apocalyptic number.

56005503400 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 56005503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81786796560).

56005503400 is an abundant number, since it is smaller than the sum of its proper divisors (107568089720).

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

56005503400 is a wasteful number, since it uses less digits than its factorization.

56005503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330656 (or 330636 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The spelling of 56005503400 in words is "fifty-six billion, five million, five hundred three thousand, four hundred".