5386707200 has 324 divisors, whose sum is σ = 15765280020. Its totient is φ = 1816657920.

The previous prime is 5386707199. The next prime is 5386707211. The reversal of 5386707200 is 27076835.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 990486784 + 4396220416 = 31472^2 + 66304^2 .

It is a super-2 number, since 2×5386707200² = 58033228917063680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27910304 + ... + 27910496.

Almost surely, 2^5386707200 is an apocalyptic number.

5386707200 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 5386707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882640010).

5386707200 is an abundant number, since it is smaller than the sum of its proper divisors (10378572820).

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

5386707200 is a wasteful number, since it uses less digits than its factorization.

5386707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 5386707200 is about 73394.1905057887. The cubic root of 5386707200 is about 1752.9698903401.

The spelling of 5386707200 in words is "five billion, three hundred eighty-six million, seven hundred seven thousand, two hundred".