5166377856 has 384 divisors, whose sum is σ = 16648480800. Its totient is φ = 1575936000.

The previous prime is 5166377813. The next prime is 5166377857. The reversal of 5166377856 is 6587736615.

5166377856 is a `hidden beast` number, since 516 + 6 + 3 + 7 + 78 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5166377857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51152206 + ... + 51152306.

Almost surely, 2^5166377856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5166377856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324240400).

5166377856 is an abundant number, since it is smaller than the sum of its proper divisors (11482102944).

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

5166377856 is a wasteful number, since it uses less digits than its factorization.

5166377856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 5166377856 is about 71877.5198236556. The cubic root of 5166377856 is about 1728.7361832315.

The spelling of 5166377856 in words is "five billion, one hundred sixty-six million, three hundred seventy-seven thousand, eight hundred fifty-six".