5355330405200 has 480 divisors, whose sum is σ = 14699868076800. Its totient is φ = 1863453081600.

The previous prime is 5355330405157. The next prime is 5355330405203. The reversal of 5355330405200 is 25040335535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5355330405203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 862230095 + ... + 862236305.

It is an arithmetic number, because the mean of its divisors is an integer number (30624725160).

Almost surely, 2^{5355330405200} is an apocalyptic number.

5355330405200 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 5355330405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7349934038400).

5355330405200 is an abundant number, since it is smaller than the sum of its proper divisors (9344537671600).

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

5355330405200 is a wasteful number, since it uses less digits than its factorization.

5355330405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6455 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 35.

The spelling of 5355330405200 in words is "five trillion, three hundred fifty-five billion, three hundred thirty million, four hundred five thousand, two hundred".