5261329920 has 960 divisors, whose sum is σ = 22570555392. Its totient is φ = 1032192000.

The previous prime is 5261329907. The next prime is 5261329921. The reversal of 5261329920 is 299231625.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5261329921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128325100 + ... + 128325140.

Almost surely, 2^5261329920 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 5261329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11285277696).

5261329920 is an abundant number, since it is smaller than the sum of its proper divisors (17309225472).

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

5261329920 is a wasteful number, since it uses less digits than its factorization.

5261329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 5261329920 is about 72535.0254704581. The cubic root of 5261329920 is about 1739.2626813985.

The spelling of 5261329920 in words is "five billion, two hundred sixty-one million, three hundred twenty-nine thousand, nine hundred twenty".