5605862400 has 396 divisors, whose sum is σ = 20788513200. Its totient is φ = 1441628160.

The previous prime is 5605862351. The next prime is 5605862411. The reversal of 5605862400 is 42685065.

5605862400 is a `hidden beast` number, since 5 + 605 + 8 + 6 + 2 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6681181 + ... + 6682019.

Almost surely, 2^5605862400 is an apocalyptic number.

5605862400 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 5605862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394256600).

5605862400 is an abundant number, since it is smaller than the sum of its proper divisors (15182650800).

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

5605862400 is a wasteful number, since it uses less digits than its factorization.

5605862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5605862400 is about 74872.3072971576. The cubic root of 5605862400 is about 1776.4274598056.

The spelling of 5605862400 in words is "five billion, six hundred five million, eight hundred sixty-two thousand, four hundred".