5235141120 has 320 divisors, whose sum is σ = 18855936000. Its totient is φ = 1227571200.

The previous prime is 5235141097. The next prime is 5235141169. The reversal of 5235141120 is 211415325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2617881 + ... + 2619879.

It is an arithmetic number, because the mean of its divisors is an integer number (58924800).

Almost surely, 2^5235141120 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 5235141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9427968000).

5235141120 is an abundant number, since it is smaller than the sum of its proper divisors (13620794880).

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

5235141120 is a wasteful number, since it uses less digits than its factorization.

5235141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5235141120 is about 72354.2750637445. The cubic root of 5235141120 is about 1736.3720949157.

Adding to 5235141120 its reverse (211415325), we get a palindrome (5446556445).

The spelling of 5235141120 in words is "five billion, two hundred thirty-five million, one hundred forty-one thousand, one hundred twenty".