5185059264 has 672 divisors, whose sum is σ = 20431353600. Its totient is φ = 1271531520.

The previous prime is 5185059251. The next prime is 5185059281. The reversal of 5185059264 is 4629505815.

5185059264 is a `hidden beast` number, since 5 + 1 + 8 + 50 + 592 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17696302 + ... + 17696594.

It is an arithmetic number, because the mean of its divisors is an integer number (30403800).

Almost surely, 2^5185059264 is an apocalyptic number.

5185059264 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 5185059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10215676800).

5185059264 is an abundant number, since it is smaller than the sum of its proper divisors (15246294336).

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

5185059264 is a wasteful number, since it uses less digits than its factorization.

5185059264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 5185059264 is about 72007.3556242694. The cubic root of 5185059264 is about 1730.8173562058.

The spelling of 5185059264 in words is "five billion, one hundred eighty-five million, fifty-nine thousand, two hundred sixty-four".