5229139161600 has 420 divisors, whose sum is σ = 19424549989746. Its totient is φ = 1394434621440.

The previous prime is 5229139161577. The next prime is 5229139161629. The reversal of 5229139161600 is 61619319225.

5229139161600 is a `hidden beast` number, since 5 + 2 + 2 + 9 + 1 + 39 + 1 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4626491261184 + 602647900416 = 2150928^2 + 776304^2 .

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 41 ways as a sum of consecutive naturals, for example, 9051004 + ... + 9611396.

Almost surely, 2^{5229139161600} is an apocalyptic number.

5229139161600 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 5229139161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9712274994873).

5229139161600 is an abundant number, since it is smaller than the sum of its proper divisors (14195410828146).

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

5229139161600 is an frugal number, since it uses more digits than its factorization.

5229139161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560439 (or 560403 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 5229139161600 in words is "five trillion, two hundred twenty-nine billion, one hundred thirty-nine million, one hundred sixty-one thousand, six hundred".