5459311800 has 144 divisors (see below), whose sum is σ = 19299267000. Its totient is φ = 1379185920.

The previous prime is 5459311751. The next prime is 5459311801. The reversal of 5459311800 is 81139545.

5459311800 is a `hidden beast` number, since 54 + 593 + 1 + 18 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5459311801) 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 35 ways as a sum of consecutive naturals, for example, 45615 + ... + 114014.

Almost surely, 2^5459311800 is an apocalyptic number.

5459311800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5459311800 is an abundant number, since it is smaller than the sum of its proper divisors (13839955200).

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

5459311800 is a wasteful number, since it uses less digits than its factorization.

5459311800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159670 (or 159658 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5459311800 is about 73887.1558526920. The cubic root of 5459311800 is about 1760.8105555383.

The spelling of 5459311800 in words is "five billion, four hundred fifty-nine million, three hundred eleven thousand, eight hundred".