5194856721600 has 4032 divisors, whose sum is σ = 25077084963840. Its totient is φ = 1028372889600.

The previous prime is 5194856721589. The next prime is 5194856721611. The reversal of 5194856721600 is 61276584915.

It is a happy number.

5194856721600 is a `hidden beast` number, since 5 + 1 + 9 + 4 + 8 + 5 + 6 + 7 + 21 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5194856721589) and next prime (5194856721611).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 62588635159 + ... + 62588635241.

It is an arithmetic number, because the mean of its divisors is an integer number (6219515120).

Almost surely, 2^{5194856721600} is an apocalyptic number.

5194856721600 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 5194856721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12538542481920).

5194856721600 is an abundant number, since it is smaller than the sum of its proper divisors (19882228242240).

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

5194856721600 is a wasteful number, since it uses less digits than its factorization.

5194856721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 5194856721600 in words is "five trillion, one hundred ninety-four billion, eight hundred fifty-six million, seven hundred twenty-one thousand, six hundred".