5171761920 has 288 divisors, whose sum is σ = 17908579584. Its totient is φ = 1264435200.

The previous prime is 5171761909. The next prime is 5171761921. The reversal of 5171761920 is 291671715.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5171761921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10532875 + ... + 10533365.

It is an arithmetic number, because the mean of its divisors is an integer number (62182568).

Almost surely, 2^5171761920 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 5171761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8954289792).

5171761920 is an abundant number, since it is smaller than the sum of its proper divisors (12736817664).

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

5171761920 is a wasteful number, since it uses less digits than its factorization.

5171761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 39.

The square root of 5171761920 is about 71914.9631161694. The cubic root of 5171761920 is about 1729.3365003273.

The spelling of 5171761920 in words is "five billion, one hundred seventy-one million, seven hundred sixty-one thousand, nine hundred twenty".