5149882800 has 300 divisors, whose sum is σ = 18837522000. Its totient is φ = 1346941440.

The previous prime is 5149882763. The next prime is 5149882819. The reversal of 5149882800 is 82889415.

It is a happy number.

5149882800 is a `hidden beast` number, since 5 + 1 + 498 + 82 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1715701 + ... + 1718699.

It is an arithmetic number, because the mean of its divisors is an integer number (62791740).

Almost surely, 2^5149882800 is an apocalyptic number.

5149882800 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 5149882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418761000).

5149882800 is an abundant number, since it is smaller than the sum of its proper divisors (13687639200).

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

5149882800 is a wasteful number, since it uses less digits than its factorization.

5149882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 5149882800 is about 71762.6838962981. The cubic root of 5149882800 is about 1726.8944027288.

The spelling of 5149882800 in words is "five billion, one hundred forty-nine million, eight hundred eighty-two thousand, eight hundred".