5167169280 has 1152 divisors, whose sum is σ = 23735255040. Its totient is φ = 1035141120.

The previous prime is 5167169257. The next prime is 5167169291. The reversal of 5167169280 is 829617615.

5167169280 is a `hidden beast` number, since 516 + 71 + 69 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 97493734 + ... + 97493786.

It is an arithmetic number, because the mean of its divisors is an integer number (20603520).

Almost surely, 2^5167169280 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 5167169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11867627520).

5167169280 is an abundant number, since it is smaller than the sum of its proper divisors (18568085760).

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

5167169280 is a wasteful number, since it uses less digits than its factorization.

5167169280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5167169280 is about 71883.0249780851. The cubic root of 5167169280 is about 1728.8244522591.

The spelling of 5167169280 in words is "five billion, one hundred sixty-seven million, one hundred sixty-nine thousand, two hundred eighty".