5138519904 has 384 divisors, whose sum is σ = 18255283200. Its totient is φ = 1373552640.

The previous prime is 5138519879. The next prime is 5138519927. The reversal of 5138519904 is 4099158315.

It is a self number, because there is not a number n which added to its sum of digits gives 5138519904.

It is a congruent number.

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, 11146234 + ... + 11146694.

It is an arithmetic number, because the mean of its divisors is an integer number (47539800).

Almost surely, 2^5138519904 is an apocalyptic number.

5138519904 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 5138519904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9127641600).

5138519904 is an abundant number, since it is smaller than the sum of its proper divisors (13116763296).

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

5138519904 is a wasteful number, since it uses less digits than its factorization.

5138519904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 5138519904 is about 71683.4702284983. The cubic root of 5138519904 is about 1725.6233724330.

It can be divided in two parts, 51385 and 19904, that added together give a square (71289 = 267²).

The spelling of 5138519904 in words is "five billion, one hundred thirty-eight million, five hundred nineteen thousand, nine hundred four".