5342112000 has 504 divisors, whose sum is σ = 20039805240. Its totient is φ = 1418342400.

The previous prime is 5342111993. The next prime is 5342112037. The reversal of 5342112000 is 2112435.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 5330168064 = 3456^2 + 73008^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23327886 + ... + 23328114.

Almost surely, 2^5342112000 is an apocalyptic number.

5342112000 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 5342112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10019902620).

5342112000 is an abundant number, since it is smaller than the sum of its proper divisors (14697693240).

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

5342112000 is an frugal number, since it uses more digits than its factorization.

5342112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5342112000 is about 73089.7530437749. The cubic root of 5342112000 is about 1748.1190129595.

Adding to 5342112000 its reverse (2112435), we get a palindrome (5344224435).

The spelling of 5342112000 in words is "five billion, three hundred forty-two million, one hundred twelve thousand".