5226116400 has 180 divisors, whose sum is σ = 18721510080. Its totient is φ = 1348646400.

The previous prime is 5226116381. The next prime is 5226116407. The reversal of 5226116400 is 46116225.

5226116400 is a `hidden beast` number, since 5 + 2 + 2 + 6 + 11 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (5226116407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88186 + ... + 135014.

Almost surely, 2^5226116400 is an apocalyptic number.

5226116400 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 5226116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360755040).

5226116400 is an abundant number, since it is smaller than the sum of its proper divisors (13495393680).

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

5226116400 is a wasteful number, since it uses less digits than its factorization.

5226116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46884 (or 46870 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5226116400 is about 72291.8833618270. The cubic root of 5226116400 is about 1735.3737591963.

The spelling of 5226116400 in words is "five billion, two hundred twenty-six million, one hundred sixteen thousand, four hundred".