5083041600 has 840 divisors, whose sum is σ = 23049024768. Its totient is φ = 1069977600.

The previous prime is 5083041571. The next prime is 5083041617. The reversal of 5083041600 is 61403805.

5083041600 is a `hidden beast` number, since 50 + 8 + 3 + 0 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11793385 + ... + 11793815.

Almost surely, 2^5083041600 is an apocalyptic number.

5083041600 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 5083041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11524512384).

5083041600 is an abundant number, since it is smaller than the sum of its proper divisors (17965983168).

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

5083041600 is a wasteful number, since it uses less digits than its factorization.

5083041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5083041600 is about 71295.4528704321. The cubic root of 5083041600 is about 1719.3906260286.

The spelling of 5083041600 in words is "five billion, eighty-three million, forty-one thousand, six hundred".