5136873984 has 480 divisors, whose sum is σ = 17372013120. Its totient is φ = 1496309760.

The previous prime is 5136873943. The next prime is 5136873997. The reversal of 5136873984 is 4893786315.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5136873984.

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 47 ways as a sum of consecutive naturals, for example, 61890007 + ... + 61890089.

It is an arithmetic number, because the mean of its divisors is an integer number (36191694).

Almost surely, 2^5136873984 is an apocalyptic number.

5136873984 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 5136873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686006560).

5136873984 is an abundant number, since it is smaller than the sum of its proper divisors (12235139136).

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

5136873984 is a wasteful number, since it uses less digits than its factorization.

5136873984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 5136873984 is about 71671.9888380391. The cubic root of 5136873984 is about 1725.4391078730.

The spelling of 5136873984 in words is "five billion, one hundred thirty-six million, eight hundred seventy-three thousand, nine hundred eighty-four".