5086829160000 has 1575 divisors, whose sum is σ = 22042152143319. Its totient is φ = 1156208256000.

The previous prime is 5086829159953. The next prime is 5086829160011. The reversal of 5086829160000 is 619286805.

The square root of 5086829160000 is 2255400.

It is a perfect power (a square), and thus also a powerful number.

5086829160000 is a `hidden beast` number, since 508 + 6 + 82 + 9 + 1 + 60 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 398807406144 + 4688021753856 = 631512^2 + 2165184^2 .

It is a tau number, because it is divible by the number of its divisors (1575).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 28418039911 + ... + 28418040089.

Almost surely, 2^{5086829160000} is an apocalyptic number.

5086829160000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5086829160000 is the 2255400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5086829160000

5086829160000 is an abundant number, since it is smaller than the sum of its proper divisors (16955322983319).

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

5086829160000 is an frugal number, since it uses more digits than its factorization.

5086829160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 5086829160000 in words is "five trillion, eighty-six billion, eight hundred twenty-nine million, one hundred sixty thousand".