5156161920 has 640 divisors, whose sum is σ = 22683608640. Its totient is φ = 1086898176.

The previous prime is 5156161909. The next prime is 5156161921. The reversal of 5156161920 is 291616515.

5156161920 is a `hidden beast` number, since 5 + 1 + 5 + 616 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5156161921) 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 79 ways as a sum of consecutive naturals, for example, 4716894 + ... + 4717986.

Almost surely, 2^5156161920 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 5156161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11341804320).

5156161920 is an abundant number, since it is smaller than the sum of its proper divisors (17527446720).

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

5156161920 is a wasteful number, since it uses less digits than its factorization.

5156161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 5156161920 is about 71806.4197687087. The cubic root of 5156161920 is about 1727.5959703546.

The spelling of 5156161920 in words is "five billion, one hundred fifty-six million, one hundred sixty-one thousand, nine hundred twenty".