5338031932800 has 4032 divisors, whose sum is σ = 25317895332240. Its totient is φ = 1103619686400.

The previous prime is 5338031932789. The next prime is 5338031932819. The reversal of 5338031932800 is 82391308335.

5338031932800 is a `hidden beast` number, since 5 + 3 + 3 + 8 + 0 + 319 + 328 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 79672118367 + ... + 79672118433.

Almost surely, 2^{5338031932800} is an apocalyptic number.

5338031932800 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 5338031932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658947666120).

5338031932800 is an abundant number, since it is smaller than the sum of its proper divisors (19979863399440).

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

5338031932800 is a wasteful number, since it uses less digits than its factorization.

5338031932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 5338031932800 in words is "five trillion, three hundred thirty-eight billion, thirty-one million, nine hundred thirty-two thousand, eight hundred".