5161642054200 has 288 divisors, whose sum is σ = 17589194532000. Its totient is φ = 1356252180480.

The previous prime is 5161642054159. The next prime is 5161642054207. The reversal of 5161642054200 is 24502461615.

5161642054200 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 642 + 0 + 5 + 4 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5161642054207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137819877 + ... + 137857323.

It is an arithmetic number, because the mean of its divisors is an integer number (61073592125).

Almost surely, 2^{5161642054200} is an apocalyptic number.

5161642054200 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 5161642054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8794597266000).

5161642054200 is an abundant number, since it is smaller than the sum of its proper divisors (12427552477800).

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

5161642054200 is a wasteful number, since it uses less digits than its factorization.

5161642054200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38591 (or 38579 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5161642054200 in words is "five trillion, one hundred sixty-one billion, six hundred forty-two million, fifty-four thousand, two hundred".