5355907200 has 576 divisors, whose sum is σ = 22572126720. Its totient is φ = 1183334400.

The previous prime is 5355907159. The next prime is 5355907241. The reversal of 5355907200 is 27095535.

5355907200 is a `hidden beast` number, since 535 + 59 + 0 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5355907159) and next prime (5355907241).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6249172 + ... + 6250028.

It is an arithmetic number, because the mean of its divisors is an integer number (39187720).

Almost surely, 2^5355907200 is an apocalyptic number.

5355907200 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 5355907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11286063360).

5355907200 is an abundant number, since it is smaller than the sum of its proper divisors (17216219520).

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

5355907200 is a wasteful number, since it uses less digits than its factorization.

5355907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 5355907200 is about 73184.0638390627. The cubic root of 5355907200 is about 1749.6224709421.

The spelling of 5355907200 in words is "five billion, three hundred fifty-five million, nine hundred seven thousand, two hundred".