5386348800 has 864 divisors, whose sum is σ = 23257122560. Its totient is φ = 1194393600.

The previous prime is 5386348787. The next prime is 5386348811. The reversal of 5386348800 is 88436835.

5386348800 is a `hidden beast` number, since 5 + 3 + 8 + 634 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×5386348800² = 58025506790522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 73785564 + ... + 73785636.

Almost surely, 2^5386348800 is an apocalyptic number.

5386348800 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 5386348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11628561280).

5386348800 is an abundant number, since it is smaller than the sum of its proper divisors (17870773760).

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

5386348800 is a wasteful number, since it uses less digits than its factorization.

5386348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5386348800 is about 73391.7488550314. The cubic root of 5386348800 is about 1752.9310120223.

The spelling of 5386348800 in words is "five billion, three hundred eighty-six million, three hundred forty-eight thousand, eight hundred".