5166540126216 has 256 divisors, whose sum is σ = 16614435840000. Its totient is φ = 1457020970496.

The previous prime is 5166540126197. The next prime is 5166540126229. The reversal of 5166540126216 is 6126210456615.

5166540126216 is a `hidden beast` number, since 5 + 1 + 6 + 6 + 5 + 4 + 0 + 12 + 621 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 679535871 + ... + 679543473.

It is an arithmetic number, because the mean of its divisors is an integer number (64900140000).

Almost surely, 2^{5166540126216} is an apocalyptic number.

5166540126216 is a gapful number since it is divisible by the number (56) 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 5166540126216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307217920000).

5166540126216 is an abundant number, since it is smaller than the sum of its proper divisors (11447895713784).

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

5166540126216 is a wasteful number, since it uses less digits than its factorization.

5166540126216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13393 (or 13383 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5166540126216 in words is "five trillion, one hundred sixty-six billion, five hundred forty million, one hundred twenty-six thousand, two hundred sixteen".