5993366400 has 864 divisors, whose sum is σ = 25867183680. Its totient is φ = 1316044800.

The previous prime is 5993366389. The next prime is 5993366411. The reversal of 5993366400 is 46633995.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5993366389) and next prime (5993366411).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 43747132 + ... + 43747268.

It is an arithmetic number, because the mean of its divisors is an integer number (29938870).

Almost surely, 2^5993366400 is an apocalyptic number.

5993366400 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 5993366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12933591840).

5993366400 is an abundant number, since it is smaller than the sum of its proper divisors (19873817280).

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

5993366400 is a wasteful number, since it uses less digits than its factorization.

5993366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 5993366400 is about 77416.8353783594. The cubic root of 5993366400 is about 1816.4506763758.

The spelling of 5993366400 in words is "five billion, nine hundred ninety-three million, three hundred sixty-six thousand, four hundred".