5162218560 has 224 divisors, whose sum is σ = 18266054400. Its totient is φ = 1372446720.

The previous prime is 5162218553. The next prime is 5162218571. The reversal of 5162218560 is 658122615.

5162218560 is a `hidden beast` number, since 516 + 2 + 2 + 1 + 85 + 60 = 666.

It is a super-2 number, since 2×5162218560² = 53297000922416947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3792280 + ... + 3793640.

Almost surely, 2^5162218560 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 5162218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133027200).

5162218560 is an abundant number, since it is smaller than the sum of its proper divisors (13103835840).

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

5162218560 is a wasteful number, since it uses less digits than its factorization.

5162218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5162218560 is about 71848.5807793028. The cubic root of 5162218560 is about 1728.2721407806.

The spelling of 5162218560 in words is "five billion, one hundred sixty-two million, two hundred eighteen thousand, five hundred sixty".