5382917971200 has 5184 divisors, whose sum is σ = 27329450803200. Its totient is φ = 997097472000.

The previous prime is 5382917971181. The next prime is 5382917971259. The reversal of 5382917971200 is 21797192835.

It is a happy number.

5382917971200 is a `hidden beast` number, since 5 + 382 + 9 + 179 + 71 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 114530169577 + ... + 114530169623.

It is an arithmetic number, because the mean of its divisors is an integer number (5271884800).

Almost surely, 2^{5382917971200} is an apocalyptic number.

5382917971200 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 5382917971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13664725401600).

5382917971200 is an abundant number, since it is smaller than the sum of its proper divisors (21946532832000).

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

5382917971200 is a wasteful number, since it uses less digits than its factorization.

5382917971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 5382917971200 in words is "five trillion, three hundred eighty-two billion, nine hundred seventeen million, nine hundred seventy-one thousand, two hundred".