5166446745600 has 864 divisors, whose sum is σ = 21249122469120. Its totient is φ = 1175150592000.

The previous prime is 5166446745583. The next prime is 5166446745601. The reversal of 5166446745600 is 65476446615.

5166446745600 is a `hidden beast` number, since 5 + 1 + 6 + 6 + 4 + 4 + 6 + 74 + 560 + 0 = 666.

It is a super-2 number, since 2×5166446745600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5166446745601) 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, 680597805 + ... + 680605395.

Almost surely, 2^{5166446745600} is an apocalyptic number.

5166446745600 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 5166446745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624561234560).

5166446745600 is an abundant number, since it is smaller than the sum of its proper divisors (16082675723520).

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

5166446745600 is a wasteful number, since it uses less digits than its factorization.

5166446745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5166446745600 in words is "five trillion, one hundred sixty-six billion, four hundred forty-six million, seven hundred forty-five thousand, six hundred".