5186668032 has 960 divisors, whose sum is σ = 20898662400. Its totient is φ = 1254113280.

The previous prime is 5186668007. The next prime is 5186668079. The reversal of 5186668032 is 2308666815.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167311857 + ... + 167311887.

It is an arithmetic number, because the mean of its divisors is an integer number (21769440).

Almost surely, 2^5186668032 is an apocalyptic number.

5186668032 is a gapful number since it is divisible by the number (52) 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 5186668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10449331200).

5186668032 is an abundant number, since it is smaller than the sum of its proper divisors (15711994368).

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

5186668032 is a wasteful number, since it uses less digits than its factorization.

5186668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5186668032 is about 72018.5256166773. The cubic root of 5186668032 is about 1730.9963445582.

The spelling of 5186668032 in words is "five billion, one hundred eighty-six million, six hundred sixty-eight thousand, thirty-two".