5167741724160 has 320 divisors, whose sum is σ = 16598232288000. Its totient is φ = 1371607695360.

The previous prime is 5167741724153. The next prime is 5167741724161. The reversal of 5167741724160 is 614271477615.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5167741724161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1613405119 + ... + 1613408321.

It is an arithmetic number, because the mean of its divisors is an integer number (51869475900).

Almost surely, 2^{5167741724160} 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 5167741724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299116144000).

5167741724160 is an abundant number, since it is smaller than the sum of its proper divisors (11430490563840).

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

5167741724160 is a wasteful number, since it uses less digits than its factorization.

5167741724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 5167741724160 in words is "five trillion, one hundred sixty-seven billion, seven hundred forty-one million, seven hundred twenty-four thousand, one hundred sixty".