5171309982720 has 616 divisors, whose sum is σ = 21256241629824. Its totient is φ = 1182007738368.

The previous prime is 5171309982689. The next prime is 5171309982763. The reversal of 5171309982720 is 272899031715.

It is a happy number.

5171309982720 is a `hidden beast` number, since 517 + 1 + 30 + 9 + 98 + 2 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26028397 + ... + 26226323.

Almost surely, 2^{5171309982720} 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 5171309982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10628120814912).

5171309982720 is an abundant number, since it is smaller than the sum of its proper divisors (16084931647104).

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

5171309982720 is an equidigital number, since it uses as much as digits as its factorization.

5171309982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197977 (or 197944 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 5171309982720 in words is "five trillion, one hundred seventy-one billion, three hundred nine million, nine hundred eighty-two thousand, seven hundred twenty".