5188086170400 has 864 divisors, whose sum is σ = 20327178977280. Its totient is φ = 1144813824000.

The previous prime is 5188086170387. The next prime is 5188086170437. The reversal of 5188086170400 is 40716808815.

It is a happy number.

It is a super-3 number, since 3×5188086170400³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5188086170400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1746240915 + ... + 1746243885.

It is an arithmetic number, because the mean of its divisors is an integer number (23526827520).

Almost surely, 2^{5188086170400} is an apocalyptic number.

5188086170400 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 5188086170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163589488640).

5188086170400 is an abundant number, since it is smaller than the sum of its proper divisors (15139092806880).

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

5188086170400 is a wasteful number, since it uses less digits than its factorization.

5188086170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 5188086170400 in words is "five trillion, one hundred eighty-eight billion, eighty-six million, one hundred seventy thousand, four hundred".