5838204600 has 720 divisors, whose sum is σ = 22800828600. Its totient is φ = 1381847040.

The previous prime is 5838204511. The next prime is 5838204737. The reversal of 5838204600 is 64028385.

It is a super-2 number, since 2×5838204600² = 68169265902922320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 135772179 + ... + 135772221.

Almost surely, 2^5838204600 is an apocalyptic number.

5838204600 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 5838204600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400414300).

5838204600 is an abundant number, since it is smaller than the sum of its proper divisors (16962624000).

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

5838204600 is a wasteful number, since it uses less digits than its factorization.

5838204600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5838204600 is about 76408.1448538047. The cubic root of 5838204600 is about 1800.6381070951.

The spelling of 5838204600 in words is "five billion, eight hundred thirty-eight million, two hundred four thousand, six hundred".