5167085580 has 180 divisors, whose sum is σ = 16754134320. Its totient is φ = 1333039680.

The previous prime is 5167085507. The next prime is 5167085597. The reversal of 5167085580 is 855807615.

5167085580 is a `hidden beast` number, since 5 + 1 + 67 + 0 + 8 + 5 + 580 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1555161 + ... + 1558479.

It is an arithmetic number, because the mean of its divisors is an integer number (93078524).

Almost surely, 2^5167085580 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 5167085580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377067160).

5167085580 is an abundant number, since it is smaller than the sum of its proper divisors (11587048740).

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

5167085580 is a wasteful number, since it uses less digits than its factorization.

5167085580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 5167085580 is about 71882.4427798611. The cubic root of 5167085580 is about 1728.8151174647.

The spelling of 5167085580 in words is "five billion, one hundred sixty-seven million, eighty-five thousand, five hundred eighty".