5171976000 has 336 divisors, whose sum is σ = 19146713040. Its totient is φ = 1331097600.

The previous prime is 5171975999. The next prime is 5171976001. The reversal of 5171976000 is 6791715.

It is an interprime number because it is at equal distance from previous prime (5171975999) and next prime (5171976001).

It can be written as a sum of positive squares in 8 ways, for example, as 1612183104 + 3559792896 = 40152^2 + 59664^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5171976001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086762 + ... + 2089238.

It is an arithmetic number, because the mean of its divisors is an integer number (56984265).

Almost surely, 2^5171976000 is an apocalyptic number.

5171976000 is a gapful number since it is divisible by the number (50) 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 5171976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9573356520).

5171976000 is an abundant number, since it is smaller than the sum of its proper divisors (13974737040).

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

5171976000 is a wasteful number, since it uses less digits than its factorization.

5171976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 5171976000 is about 71916.4515253638. The cubic root of 5171976000 is about 1729.3603613928.

The spelling of 5171976000 in words is "five billion, one hundred seventy-one million, nine hundred seventy-six thousand".