4872890880000 has 4160 divisors, whose sum is σ = 23214054124800. Its totient is φ = 990904320000.

The previous prime is 4872890879959. The next prime is 4872890880001. The reversal of 4872890880000 is 880982784.

4872890880000 is a `hidden beast` number, since 487 + 2 + 89 + 0 + 8 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

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 (4872890880001) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 168030719986 + ... + 168030720014.

Almost surely, 2^{4872890880000} is an apocalyptic number.

4872890880000 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 4872890880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11607027062400).

4872890880000 is an abundant number, since it is smaller than the sum of its proper divisors (18341163244800).

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

4872890880000 is a wasteful number, since it uses less digits than its factorization.

4872890880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 4872890880000 in words is "four trillion, eight hundred seventy-two billion, eight hundred ninety million, eight hundred eighty thousand".