5416903800 has 1152 divisors, whose sum is σ = 25487654400. Its totient is φ = 1003622400.

The previous prime is 5416903799. The next prime is 5416903829. The reversal of 5416903800 is 83096145.

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 285100191 + ... + 285100209.

It is an arithmetic number, because the mean of its divisors is an integer number (22124700).

Almost surely, 2^5416903800 is an apocalyptic number.

5416903800 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 5416903800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12743827200).

5416903800 is an abundant number, since it is smaller than the sum of its proper divisors (20070750600).

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

5416903800 is a wasteful number, since it uses less digits than its factorization.

5416903800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5416903800 is about 73599.6182055315. The cubic root of 5416903800 is about 1756.2393661206.

Adding to 5416903800 its reverse (83096145), we get a palindrome (5499999945).

It can be divided in two parts, 541690 and 3800, that added together give a triangular number (545490 = T₁₀₄₄).

The spelling of 5416903800 in words is "five billion, four hundred sixteen million, nine hundred three thousand, eight hundred".