5167955520 has 840 divisors, whose sum is σ = 23103239544. Its totient is φ = 1086898176.

The previous prime is 5167955519. The next prime is 5167955531. The reversal of 5167955520 is 255597615.

5167955520 is a `hidden beast` number, since 5 + 1 + 6 + 7 + 95 + 552 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 260112384 + 4907843136 = 16128^2 + 70056^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 16510884 + ... + 16511196.

Almost surely, 2^5167955520 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 5167955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551619772).

5167955520 is an abundant number, since it is smaller than the sum of its proper divisors (17935284024).

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

5167955520 is a wasteful number, since it uses less digits than its factorization.

5167955520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The square root of 5167955520 is about 71888.4936551045. The cubic root of 5167955520 is about 1728.9121341810.

The spelling of 5167955520 in words is "five billion, one hundred sixty-seven million, nine hundred fifty-five thousand, five hundred twenty".