5816918400 has 192 divisors, whose sum is σ = 20168500800. Its totient is φ = 1469491200.

The previous prime is 5816918377. The next prime is 5816918411. The reversal of 5816918400 is 48196185.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166455 + ... + 198345.

It is an arithmetic number, because the mean of its divisors is an integer number (105044275).

Almost surely, 2^5816918400 is an apocalyptic number.

5816918400 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 5816918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10084250400).

5816918400 is an abundant number, since it is smaller than the sum of its proper divisors (14351582400).

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

5816918400 is a wasteful number, since it uses less digits than its factorization.

5816918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31937 (or 31920 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 5816918400 is about 76268.7249139515. The cubic root of 5816918400 is about 1798.4470556492.

The spelling of 5816918400 in words is "five billion, eight hundred sixteen million, nine hundred eighteen thousand, four hundred".