5386141800 has 288 divisors, whose sum is σ = 20009578680. Its totient is φ = 1289779200.

The previous prime is 5386141781. The next prime is 5386141811. The reversal of 5386141800 is 81416835.

5386141800 is a `hidden beast` number, since 5 + 38 + 614 + 1 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 636804 + 5385504996 = 798^2 + 73386^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 862690 + ... + 868910.

Almost surely, 2^5386141800 is an apocalyptic number.

5386141800 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 5386141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10004789340).

5386141800 is an abundant number, since it is smaller than the sum of its proper divisors (14623436880).

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

5386141800 is a wasteful number, since it uses less digits than its factorization.

5386141800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6293 (or 6281 counting only the distinct ones).

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

The square root of 5386141800 is about 73390.3386012083. The cubic root of 5386141800 is about 1752.9085564046.

The spelling of 5386141800 in words is "five billion, three hundred eighty-six million, one hundred forty-one thousand, eight hundred".