5083754400 has 504 divisors, whose sum is σ = 19467816480. Its totient is φ = 1293304320.

The previous prime is 5083754327. The next prime is 5083754407. The reversal of 5083754400 is 44573805.

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

It is not an unprimeable number, because it can be changed into a prime (5083754407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13413411 + ... + 13413789.

It is an arithmetic number, because the mean of its divisors is an integer number (38626620).

Almost surely, 2^5083754400 is an apocalyptic number.

5083754400 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 5083754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9733908240).

5083754400 is an abundant number, since it is smaller than the sum of its proper divisors (14384062080).

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

5083754400 is a wasteful number, since it uses less digits than its factorization.

5083754400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5083754400 is about 71300.4516114730. The cubic root of 5083754400 is about 1719.4709928936.

The spelling of 5083754400 in words is "five billion, eighty-three million, seven hundred fifty-four thousand, four hundred".