5301120000 has 440 divisors, whose sum is σ = 19337959872. Its totient is φ = 1280000000.

The previous prime is 5301119987. The next prime is 5301120007. The reversal of 5301120000 is 211035.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (5301120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21119875 + ... + 21120125.

Almost surely, 2^5301120000 is an apocalyptic number.

5301120000 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 5301120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668979936).

5301120000 is an abundant number, since it is smaller than the sum of its proper divisors (14036839872).

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

5301120000 is a wasteful number, since it uses less digits than its factorization.

5301120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 5301120000 is about 72808.7906780493. The cubic root of 5301120000 is about 1743.6362061377.

Adding to 5301120000 its reverse (211035), we get a palindrome (5301331035).

The spelling of 5301120000 in words is "five billion, three hundred one million, one hundred twenty thousand".