5167852704 has 384 divisors, whose sum is σ = 18207866880. Its totient is φ = 1394122752.

The previous prime is 5167852687. The next prime is 5167852721. The reversal of 5167852704 is 4072587615.

5167852704 is a `hidden beast` number, since 51 + 6 + 78 + 527 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5167852687) and next prime (5167852721).

It is a super-2 number, since 2×5167852704² = 53413403140480223232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5167852704.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13492897 + ... + 13493279.

It is an arithmetic number, because the mean of its divisors is an integer number (47416320).

Almost surely, 2^5167852704 is an apocalyptic number.

5167852704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5167852704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9103933440).

5167852704 is an abundant number, since it is smaller than the sum of its proper divisors (13040014176).

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

5167852704 is a wasteful number, since it uses less digits than its factorization.

5167852704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5167852704 is about 71887.7785440613. The cubic root of 5167852704 is about 1728.9006685890.

The spelling of 5167852704 in words is "five billion, one hundred sixty-seven million, eight hundred fifty-two thousand, seven hundred four".