5316326400 has 1056 divisors, whose sum is σ = 23392788480. Its totient is φ = 1032192000.

The previous prime is 5316326363. The next prime is 5316326413. The reversal of 5316326400 is 46236135.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 171494385 + ... + 171494415.

Almost surely, 2^5316326400 is an apocalyptic number.

5316326400 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 5316326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11696394240).

5316326400 is an abundant number, since it is smaller than the sum of its proper divisors (18076462080).

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

5316326400 is a wasteful number, since it uses less digits than its factorization.

5316326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 5316326400 is about 72913.1428481862. The cubic root of 5316326400 is about 1745.3018363874.

The spelling of 5316326400 in words is "five billion, three hundred sixteen million, three hundred twenty-six thousand, four hundred".