5161982515200 has 2016 divisors, whose sum is σ = 22910546131200. Its totient is φ = 1127268679680.

The previous prime is 5161982515153. The next prime is 5161982515201. The reversal of 5161982515200 is 25152891615.

5161982515200 is a `hidden beast` number, since 5 + 1 + 6 + 198 + 251 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5161982515201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6009292371 + ... + 6009293229.

It is an arithmetic number, because the mean of its divisors is an integer number (11364358200).

Almost surely, 2^{5161982515200} is an apocalyptic number.

5161982515200 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 5161982515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11455273065600).

5161982515200 is an abundant number, since it is smaller than the sum of its proper divisors (17748563616000).

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

5161982515200 is an equidigital number, since it uses as much as digits as its factorization.

5161982515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 5161982515200 in words is "five trillion, one hundred sixty-one billion, nine hundred eighty-two million, five hundred fifteen thousand, two hundred".