5300541120 has 448 divisors, whose sum is σ = 20277734400. Its totient is φ = 1147453440.

The previous prime is 5300541119. The next prime is 5300541143. The reversal of 5300541120 is 211450035.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11497690 + ... + 11498150.

It is an arithmetic number, because the mean of its divisors is an integer number (45262800).

Almost surely, 2^5300541120 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 5300541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10138867200).

5300541120 is an abundant number, since it is smaller than the sum of its proper divisors (14977193280).

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

5300541120 is a wasteful number, since it uses less digits than its factorization.

5300541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5300541120 is about 72804.8152253682. The cubic root of 5300541120 is about 1743.5727357221.

Adding to 5300541120 its reverse (211450035), we get a palindrome (5511991155).

The spelling of 5300541120 in words is "five billion, three hundred million, five hundred forty-one thousand, one hundred twenty".