5206088160 has 1536 divisors, whose sum is σ = 25604812800. Its totient is φ = 955514880.

The previous prime is 5206088117. The next prime is 5206088171. The reversal of 5206088160 is 618806025.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 126977740 + ... + 126977780.

It is an arithmetic number, because the mean of its divisors is an integer number (16669800).

Almost surely, 2^5206088160 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 5206088160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12802406400).

5206088160 is an abundant number, since it is smaller than the sum of its proper divisors (20398724640).

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

5206088160 is a wasteful number, since it uses less digits than its factorization.

5206088160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5206088160 is about 72153.2269548632. The cubic root of 5206088160 is about 1733.1540754792.

The spelling of 5206088160 in words is "five billion, two hundred six million, eighty-eight thousand, one hundred sixty".