5133959600 has 480 divisors, whose sum is σ = 16768450560. Its totient is φ = 1461888000.

The previous prime is 5133959599. The next prime is 5133959627. The reversal of 5133959600 is 69593315.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18141059 + ... + 18141341.

It is an arithmetic number, because the mean of its divisors is an integer number (34934272).

Almost surely, 2^5133959600 is an apocalyptic number.

5133959600 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 5133959600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384225280).

5133959600 is an abundant number, since it is smaller than the sum of its proper divisors (11634490960).

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

5133959600 is a wasteful number, since it uses less digits than its factorization.

5133959600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 41.

The square root of 5133959600 is about 71651.6545517269. The cubic root of 5133959600 is about 1725.1127392535.

The spelling of 5133959600 in words is "five billion, one hundred thirty-three million, nine hundred fifty-nine thousand, six hundred".