5167913074240 has 1008 divisors, whose sum is σ = 16141895153280. Its totient is φ = 1566619729920.

The previous prime is 5167913074231. The next prime is 5167913074279. The reversal of 5167913074240 is 424703197615.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16617083685 + ... + 16617083995.

Almost surely, 2^{5167913074240} 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 5167913074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8070947576640).

5167913074240 is an abundant number, since it is smaller than the sum of its proper divisors (10973982079040).

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

5167913074240 is a wasteful number, since it uses less digits than its factorization.

5167913074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 5167913074240 in words is "five trillion, one hundred sixty-seven billion, nine hundred thirteen million, seventy-four thousand, two hundred forty".