5385592800 has 720 divisors, whose sum is σ = 23230513152. Its totient is φ = 1188172800.

The previous prime is 5385592799. The next prime is 5385592847. The reversal of 5385592800 is 82955835.

5385592800 is a `hidden beast` number, since 53 + 8 + 5 + 592 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14061409 + ... + 14061791.

Almost surely, 2^5385592800 is an apocalyptic number.

5385592800 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 5385592800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11615256576).

5385592800 is an abundant number, since it is smaller than the sum of its proper divisors (17844920352).

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

5385592800 is a wasteful number, since it uses less digits than its factorization.

5385592800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 5385592800 is about 73386.5982315572. The cubic root of 5385592800 is about 1752.8489974147.

The spelling of 5385592800 in words is "five billion, three hundred eighty-five million, five hundred ninety-two thousand, eight hundred".