5838195916800 has 1680 divisors, whose sum is σ = 23875398439200. Its totient is φ = 1406517903360.

The previous prime is 5838195916799. The next prime is 5838195916807. The reversal of 5838195916800 is 86195918385.

5838195916800 is a `hidden beast` number, since 5 + 8 + 38 + 1 + 9 + 591 + 6 + 8 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5838195916807) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 124216934377 + ... + 124216934423.

It is an arithmetic number, because the mean of its divisors is an integer number (14211546690).

Almost surely, 2^{5838195916800} is an apocalyptic number.

5838195916800 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 5838195916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11937699219600).

5838195916800 is an abundant number, since it is smaller than the sum of its proper divisors (18037202522400).

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

5838195916800 is an frugal number, since it uses more digits than its factorization.

5838195916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 5838195916800 in words is "five trillion, eight hundred thirty-eight billion, one hundred ninety-five million, nine hundred sixteen thousand, eight hundred".