5335249920 has 704 divisors, whose sum is σ = 22977755136. Its totient is φ = 1020395520.

The previous prime is 5335249919. The next prime is 5335250021. The reversal of 5335249920 is 299425335.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15375187 + ... + 15375533.

Almost surely, 2^5335249920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5335249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488877568).

5335249920 is an abundant number, since it is smaller than the sum of its proper divisors (17642505216).

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

5335249920 is a wasteful number, since it uses less digits than its factorization.

5335249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The square root of 5335249920 is about 73042.7951272403. The cubic root of 5335249920 is about 1747.3701909917.

It can be divided in two parts, 5335 and 249920, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 5335249920 in words is "five billion, three hundred thirty-five million, two hundred forty-nine thousand, nine hundred twenty".