5188350633984 has 480 divisors, whose sum is σ = 17930052504000. Its totient is φ = 1482347962368.

The previous prime is 5188350633953. The next prime is 5188350634079. The reversal of 5188350633984 is 4893360538815.

5188350633984 is a `hidden beast` number, since 5 + 1 + 8 + 8 + 3 + 506 + 33 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132746157 + ... + 132785235.

It is an arithmetic number, because the mean of its divisors is an integer number (37354276050).

Almost surely, 2^{5188350633984} is an apocalyptic number.

5188350633984 is a gapful number since it is divisible by the number (54) 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 5188350633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965026252000).

5188350633984 is an abundant number, since it is smaller than the sum of its proper divisors (12741701870016).

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

5188350633984 is an frugal number, since it uses more digits than its factorization.

5188350633984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39138 (or 39091 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 5188350633984 in words is "five trillion, one hundred eighty-eight billion, three hundred fifty million, six hundred thirty-three thousand, nine hundred eighty-four".