5112866304 has 480 divisors, whose sum is σ = 18499440960. Its totient is φ = 1323565056.

The previous prime is 5112866303. The next prime is 5112866327. The reversal of 5112866304 is 4036682115.

It is a happy number.

5112866304 is a `hidden beast` number, since 5 + 1 + 12 + 8 + 6 + 630 + 4 = 666.

It is a super-2 number, since 2×5112866304² = 52282803685157240832, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5112866303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37320124 + ... + 37320260.

It is an arithmetic number, because the mean of its divisors is an integer number (38540502).

Almost surely, 2^5112866304 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 5112866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9249720480).

5112866304 is an abundant number, since it is smaller than the sum of its proper divisors (13386574656).

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

5112866304 is a wasteful number, since it uses less digits than its factorization.

5112866304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5112866304 is about 71504.3096882978. The cubic root of 5112866304 is about 1722.7469069435.

It can be divided in two parts, 511 and 2866304, that added together give a triangular number (2866815 = T₂₃₉₄).

The spelling of 5112866304 in words is "five billion, one hundred twelve million, eight hundred sixty-six thousand, three hundred four".