5138485200 has 360 divisors, whose sum is σ = 18757489920. Its totient is φ = 1300147200.

The previous prime is 5138485199. The next prime is 5138485207. The reversal of 5138485200 is 25848315.

It is a happy number.

5138485200 is a `hidden beast` number, since 51 + 3 + 84 + 8 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (5138485207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18961065 + ... + 18961335.

Almost surely, 2^5138485200 is an apocalyptic number.

5138485200 is a gapful number since it is divisible by the number (50) 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 5138485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9378744960).

5138485200 is an abundant number, since it is smaller than the sum of its proper divisors (13619004720).

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

5138485200 is a wasteful number, since it uses less digits than its factorization.

5138485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5138485200 is about 71683.2281639157. The cubic root of 5138485200 is about 1725.6194876459.

The spelling of 5138485200 in words is "five billion, one hundred thirty-eight million, four hundred eighty-five thousand, two hundred".