5316062400 has 756 divisors, whose sum is σ = 21728177016. Its totient is φ = 1277337600.

The previous prime is 5316062377. The next prime is 5316062443. The reversal of 5316062400 is 42606135.

5316062400 is a `hidden beast` number, since 5 + 31 + 6 + 0 + 624 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47044744 + ... + 47044856.

Almost surely, 2^5316062400 is an apocalyptic number.

5316062400 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 5316062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10864088508).

5316062400 is an abundant number, since it is smaller than the sum of its proper divisors (16412114616).

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

5316062400 is a wasteful number, since it uses less digits than its factorization.

5316062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5316062400 is about 72911.3324525070. The cubic root of 5316062400 is about 1745.2729463057.

Adding to 5316062400 its reverse (42606135), we get a palindrome (5358668535).

The spelling of 5316062400 in words is "five billion, three hundred sixteen million, sixty-two thousand, four hundred".