5335879323600 has 1620 divisors, whose sum is σ = 22707613411392. Its totient is φ = 1156788864000.

The previous prime is 5335879323571. The next prime is 5335879323631. The reversal of 5335879323600 is 63239785335.

It is a happy number.

5335879323600 is a `hidden beast` number, since 5 + 3 + 3 + 5 + 8 + 7 + 9 + 3 + 23 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 19689591465 + ... + 19689591735.

Almost surely, 2^{5335879323600} is an apocalyptic number.

5335879323600 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 5335879323600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11353806705696).

5335879323600 is an abundant number, since it is smaller than the sum of its proper divisors (17371734087792).

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

5335879323600 is a wasteful number, since it uses less digits than its factorization.

5335879323600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 5335879323600 in words is "five trillion, three hundred thirty-five billion, eight hundred seventy-nine million, three hundred twenty-three thousand, six hundred".