5375842400 has 72 divisors (see below), whose sum is σ = 13178703384. Its totient is φ = 2141337600.

The previous prime is 5375842337. The next prime is 5375842403. The reversal of 5375842400 is 42485735.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5375842403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178859 + ... + 206741.

It is an arithmetic number, because the mean of its divisors is an integer number (183037547).

Almost surely, 2^5375842400 is an apocalyptic number.

5375842400 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 5375842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589351692).

5375842400 is an abundant number, since it is smaller than the sum of its proper divisors (7802860984).

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

5375842400 is a wasteful number, since it uses less digits than its factorization.

5375842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28144 (or 28131 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The square root of 5375842400 is about 73320.1363883074. The cubic root of 5375842400 is about 1751.7905374293.

The spelling of 5375842400 in words is "five billion, three hundred seventy-five million, eight hundred forty-two thousand, four hundred".