5355007200 has 360 divisors, whose sum is σ = 20383414128. Its totient is φ = 1365534720.

The previous prime is 5355007187. The next prime is 5355007201. The reversal of 5355007200 is 27005535.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5355007200² = 57352204224103680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5355007201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1488604 + ... + 1492196.

Almost surely, 2^5355007200 is an apocalyptic number.

5355007200 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 5355007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10191707064).

5355007200 is an abundant number, since it is smaller than the sum of its proper divisors (15028406928).

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

5355007200 is a wasteful number, since it uses less digits than its factorization.

5355007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 5355007200 is about 73177.9147010900. The cubic root of 5355007200 is about 1749.5244639893.

The spelling of 5355007200 in words is "five billion, three hundred fifty-five million, seven thousand, two hundred".