5135827200 has 648 divisors, whose sum is σ = 20283576768. Its totient is φ = 1140572160.

The previous prime is 5135827171. The next prime is 5135827231. The reversal of 5135827200 is 27285315.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49862349 + ... + 49862451.

It is an arithmetic number, because the mean of its divisors is an integer number (31301816).

Almost surely, 2^5135827200 is an apocalyptic number.

5135827200 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 5135827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141788384).

5135827200 is an abundant number, since it is smaller than the sum of its proper divisors (15147749568).

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

5135827200 is a wasteful number, since it uses less digits than its factorization.

5135827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5135827200 is about 71664.6858640991. The cubic root of 5135827200 is about 1725.3218974998.

The spelling of 5135827200 in words is "five billion, one hundred thirty-five million, eight hundred twenty-seven thousand, two hundred".