5091727341600 has 432 divisors, whose sum is σ = 18551224770624. Its totient is φ = 1313405184000.

The previous prime is 5091727341587. The next prime is 5091727341611. The reversal of 5091727341600 is 61437271905.

5091727341600 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 7 + 2 + 7 + 34 + 1 + 600 = 666.

It is a super-3 number, since 3×5091727341600³ (a number of 39 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 26999635 + ... + 27187565.

It is an arithmetic number, because the mean of its divisors is an integer number (42942649932).

Almost surely, 2^{5091727341600} is an apocalyptic number.

5091727341600 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 5091727341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9275612385312).

5091727341600 is an abundant number, since it is smaller than the sum of its proper divisors (13459497429024).

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

5091727341600 is a wasteful number, since it uses less digits than its factorization.

5091727341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188081 (or 188065 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 5091727341600 in words is "five trillion, ninety-one billion, seven hundred twenty-seven million, three hundred forty-one thousand, six hundred".