5188736931840 has 3456 divisors, whose sum is σ = 25069136601600. Its totient is φ = 997557534720.

The previous prime is 5188736931821. The next prime is 5188736931853. The reversal of 5188736931840 is 481396378815.

5188736931840 is a `hidden beast` number, since 5 + 18 + 87 + 369 + 3 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 87944693731 + ... + 87944693789.

It is an arithmetic number, because the mean of its divisors is an integer number (7253801100).

Almost surely, 2^{5188736931840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5188736931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534568300800).

5188736931840 is an abundant number, since it is smaller than the sum of its proper divisors (19880399669760).

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

5188736931840 is an equidigital number, since it uses as much as digits as its factorization.

5188736931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 5188736931840 in words is "five trillion, one hundred eighty-eight billion, seven hundred thirty-six million, nine hundred thirty-one thousand, eight hundred forty".