5151783168 has 576 divisors, whose sum is σ = 18543168000. Its totient is φ = 1408942080.

The previous prime is 5151783163. The next prime is 5151783187. The reversal of 5151783168 is 8613871515.

5151783168 is a `hidden beast` number, since 51 + 517 + 83 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (201600) is a multiple of the sum of its prime factors (140).

It is not an unprimeable number, because it can be changed into a prime (5151783163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97203430 + ... + 97203482.

It is an arithmetic number, because the mean of its divisors is an integer number (32193000).

Almost surely, 2^5151783168 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 5151783168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9271584000).

5151783168 is an abundant number, since it is smaller than the sum of its proper divisors (13391384832).

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

5151783168 is an equidigital number, since it uses as much as digits as its factorization.

5151783168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 5151783168 is about 71775.9233169452. The cubic root of 5151783168 is about 1727.1067914637.

The spelling of 5151783168 in words is "five billion, one hundred fifty-one million, seven hundred eighty-three thousand, one hundred sixty-eight".