4856100500160 has 1344 divisors, whose sum is σ = 21560429116800. Its totient is φ = 1019844919296.

The previous prime is 4856100500089. The next prime is 4856100500179. The reversal of 4856100500160 is 610050016584.

4856100500160 is a `hidden beast` number, since 4 + 85 + 6 + 10 + 0 + 500 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1260340794 + ... + 1260344646.

It is an arithmetic number, because the mean of its divisors is an integer number (16041985950).

Almost surely, 2^{4856100500160} is an apocalyptic number.

4856100500160 is a gapful number since it is divisible by the number (40) 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 4856100500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10780214558400).

4856100500160 is an abundant number, since it is smaller than the sum of its proper divisors (16704328616640).

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

4856100500160 is a wasteful number, since it uses less digits than its factorization.

4856100500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 4856100500160 in words is "four trillion, eight hundred fifty-six billion, one hundred million, five hundred thousand, one hundred sixty".