5206086432 has 336 divisors, whose sum is σ = 16605485568. Its totient is φ = 1601233920.

The previous prime is 5206086371. The next prime is 5206086433. The reversal of 5206086432 is 2346806025.

5206086432 is a `hidden beast` number, since 5 + 2 + 0 + 6 + 0 + 8 + 643 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5206086433) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16632708 + ... + 16633020.

It is an arithmetic number, because the mean of its divisors is an integer number (49421088).

Almost surely, 2^5206086432 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 5206086432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302742784).

5206086432 is an abundant number, since it is smaller than the sum of its proper divisors (11399399136).

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

5206086432 is a wasteful number, since it uses less digits than its factorization.

5206086432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5206086432 is about 72153.2149803458. The cubic root of 5206086432 is about 1733.1538837236.

The spelling of 5206086432 in words is "five billion, two hundred six million, eighty-six thousand, four hundred thirty-two".