5166981792 has 432 divisors, whose sum is σ = 18257218560. Its totient is φ = 1417409280.

The previous prime is 5166981791. The next prime is 5166981793. The reversal of 5166981792 is 2971896615.

It is an interprime number because it is at equal distance from previous prime (5166981791) and next prime (5166981793).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5166981791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40684833 + ... + 40684959.

It is an arithmetic number, because the mean of its divisors is an integer number (42262080).

Almost surely, 2^5166981792 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 5166981792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9128609280).

5166981792 is an abundant number, since it is smaller than the sum of its proper divisors (13090236768).

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

5166981792 is a wasteful number, since it uses less digits than its factorization.

5166981792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 170 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 5166981792 is about 71881.7208475145. The cubic root of 5166981792 is about 1728.8035421797.

The spelling of 5166981792 in words is "five billion, one hundred sixty-six million, nine hundred eighty-one thousand, seven hundred ninety-two".