5170120704 has 576 divisors, whose sum is σ = 18971971200. Its totient is φ = 1361608704.

The previous prime is 5170120651. The next prime is 5170120721. The reversal of 5170120704 is 4070210715.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139732974 + ... + 139733010.

It is an arithmetic number, because the mean of its divisors is an integer number (32937450).

Almost surely, 2^5170120704 is an apocalyptic number.

5170120704 is a gapful number since it is divisible by the number (54) 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 5170120704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9485985600).

5170120704 is an abundant number, since it is smaller than the sum of its proper divisors (13801850496).

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

5170120704 is a wasteful number, since it uses less digits than its factorization.

5170120704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 5170120704 is about 71903.5514004698. The cubic root of 5170120704 is about 1729.1535507472.

The spelling of 5170120704 in words is "five billion, one hundred seventy million, one hundred twenty thousand, seven hundred four".