5335982400 has 420 divisors, whose sum is σ = 20467108672. Its totient is φ = 1217018880.

The previous prime is 5335982387. The next prime is 5335982429. The reversal of 5335982400 is 42895335.

It is a tau number, because it is divible by the number of its divisors (420).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11524569 + ... + 11525031.

Almost surely, 2^5335982400 is an apocalyptic number.

5335982400 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 5335982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10233554336).

5335982400 is an abundant number, since it is smaller than the sum of its proper divisors (15131126272).

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

5335982400 is an equidigital number, since it uses as much as digits as its factorization.

5335982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 5335982400 is about 73047.8090020502. The cubic root of 5335982400 is about 1747.4501532033.

The spelling of 5335982400 in words is "five billion, three hundred thirty-five million, nine hundred eighty-two thousand, four hundred".