5838400512 has 352 divisors, whose sum is σ = 20028503040. Its totient is φ = 1645608960.

The previous prime is 5838400511. The next prime is 5838400543. The reversal of 5838400512 is 2150048385.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5838400511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18772837 + ... + 18773147.

Almost surely, 2^5838400512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5838400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10014251520).

5838400512 is an abundant number, since it is smaller than the sum of its proper divisors (14190102528).

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

5838400512 is a wasteful number, since it uses less digits than its factorization.

5838400512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5838400512 is about 76409.4268529741. The cubic root of 5838400512 is about 1800.6582481425.

Adding to 5838400512 its reverse (2150048385), we get a palindrome (7988448897).

The spelling of 5838400512 in words is "five billion, eight hundred thirty-eight million, four hundred thousand, five hundred twelve".