5249059200 has 960 divisors, whose sum is σ = 24241662720. Its totient is φ = 1086566400.

The previous prime is 5249059147. The next prime is 5249059219. The reversal of 5249059200 is 29509425.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19958269 + ... + 19958531.

It is an arithmetic number, because the mean of its divisors is an integer number (25251732).

Almost surely, 2^5249059200 is an apocalyptic number.

5249059200 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 5249059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120831360).

5249059200 is an abundant number, since it is smaller than the sum of its proper divisors (18992603520).

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

5249059200 is a wasteful number, since it uses less digits than its factorization.

5249059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5249059200 is about 72450.3913032911. The cubic root of 5249059200 is about 1737.9094989121.

The spelling of 5249059200 in words is "five billion, two hundred forty-nine million, fifty-nine thousand, two hundred".