5167520640120 has 512 divisors, whose sum is σ = 17297491783680. Its totient is φ = 1228341903360.

The previous prime is 5167520640119. The next prime is 5167520640131. The reversal of 5167520640120 is 210460257615.

It is a super-2 number, since 2×5167520640120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3349008069 + ... + 3349009611.

It is an arithmetic number, because the mean of its divisors is an integer number (33784163640).

Almost surely, 2^{5167520640120} 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 5167520640120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648745891840).

5167520640120 is an abundant number, since it is smaller than the sum of its proper divisors (12129971143560).

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

5167520640120 is a wasteful number, since it uses less digits than its factorization.

5167520640120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

Adding to 5167520640120 its reverse (210460257615), we get a palindrome (5377980897735).

The spelling of 5167520640120 in words is "five trillion, one hundred sixty-seven billion, five hundred twenty million, six hundred forty thousand, one hundred twenty".