56005419600 has 480 divisors, whose sum is σ = 218342275200. Its totient is φ = 13550284800.

The previous prime is 56005419557. The next prime is 56005419629. The reversal of 56005419600 is 691450065.

56005419600 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 5 + 41 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8280220 + ... + 8286980.

It is an arithmetic number, because the mean of its divisors is an integer number (454879740).

Almost surely, 2^56005419600 is an apocalyptic number.

56005419600 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 56005419600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109171137600).

56005419600 is an abundant number, since it is smaller than the sum of its proper divisors (162336855600).

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

56005419600 is a wasteful number, since it uses less digits than its factorization.

56005419600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 56005419600 its reverse (691450065), we get a palindrome (56696869665).

The spelling of 56005419600 in words is "fifty-six billion, five million, four hundred nineteen thousand, six hundred".