5385369600 has 864 divisors, whose sum is σ = 22179830400. Its totient is φ = 1238630400.

The previous prime is 5385369581. The next prime is 5385369607. The reversal of 5385369600 is 69635835.

5385369600 is a `hidden beast` number, since 5 + 3 + 8 + 5 + 36 + 9 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385369607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 173721585 + ... + 173721615.

It is an arithmetic number, because the mean of its divisors is an integer number (25671100).

Almost surely, 2^5385369600 is an apocalyptic number.

5385369600 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 5385369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11089915200).

5385369600 is an abundant number, since it is smaller than the sum of its proper divisors (16794460800).

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

5385369600 is a wasteful number, since it uses less digits than its factorization.

5385369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5385369600 is about 73385.0775021734. The cubic root of 5385369600 is about 1752.8247821106.

The spelling of 5385369600 in words is "five billion, three hundred eighty-five million, three hundred sixty-nine thousand, six hundred".