5437891800 has 384 divisors, whose sum is σ = 20918304000. Its totient is φ = 1287014400.

The previous prime is 5437891793. The next prime is 5437891801. The reversal of 5437891800 is 81987345.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5437891801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2553136 + ... + 2555264.

It is an arithmetic number, because the mean of its divisors is an integer number (54474750).

Almost surely, 2^5437891800 is an apocalyptic number.

5437891800 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 5437891800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10459152000).

5437891800 is an abundant number, since it is smaller than the sum of its proper divisors (15480412200).

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

5437891800 is a wasteful number, since it uses less digits than its factorization.

5437891800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5437891800 is about 73742.0626237156. The cubic root of 5437891800 is about 1758.5046484225.

The spelling of 5437891800 in words is "five billion, four hundred thirty-seven million, eight hundred ninety-one thousand, eight hundred".