5183481600 has 756 divisors, whose sum is σ = 21192596712. Its totient is φ = 1244160000.

The previous prime is 5183481559. The next prime is 5183481607. The reversal of 5183481600 is 61843815.

5183481600 is a `hidden beast` number, since 5 + 1 + 8 + 3 + 48 + 1 + 600 = 666.

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 (5183481607) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 51321550 + ... + 51321650.

Almost surely, 2^5183481600 is an apocalyptic number.

5183481600 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 5183481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596298356).

5183481600 is an abundant number, since it is smaller than the sum of its proper divisors (16009115112).

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

5183481600 is a wasteful number, since it uses less digits than its factorization.

5183481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5183481600 is about 71996.3999099955. The cubic root of 5183481600 is about 1730.6417924630.

The spelling of 5183481600 in words is "five billion, one hundred eighty-three million, four hundred eighty-one thousand, six hundred".