5326118400 has 240 divisors, whose sum is σ = 17933320944. Its totient is φ = 1392967680.

The previous prime is 5326118393. The next prime is 5326118419. The reversal of 5326118400 is 48116235.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2033892 + ... + 2036508.

Almost surely, 2^5326118400 is an apocalyptic number.

5326118400 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 5326118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8966660472).

5326118400 is an abundant number, since it is smaller than the sum of its proper divisors (12607202544).

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

5326118400 is a wasteful number, since it uses less digits than its factorization.

5326118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5326118400 is about 72980.2603448357. The cubic root of 5326118400 is about 1746.3727208343.

The spelling of 5326118400 in words is "five billion, three hundred twenty-six million, one hundred eighteen thousand, four hundred".