5167155910320 has 480 divisors, whose sum is σ = 18151427234304. Its totient is φ = 1315779379200.

The previous prime is 5167155910307. The next prime is 5167155910321. The reversal of 5167155910320 is 230195517615.

5167155910320 is a `hidden beast` number, since 5 + 1 + 6 + 71 + 559 + 1 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5167155910321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 764255740 + ... + 764262500.

Almost surely, 2^{5167155910320} 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 5167155910320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9075713617152).

5167155910320 is an abundant number, since it is smaller than the sum of its proper divisors (12984271323984).

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

5167155910320 is a wasteful number, since it uses less digits than its factorization.

5167155910320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 5167155910320 in words is "five trillion, one hundred sixty-seven billion, one hundred fifty-five million, nine hundred ten thousand, three hundred twenty".