8870461891200 has 2304 divisors, whose sum is σ = 41023814307840. Its totient is φ = 1842650726400.

The previous prime is 8870461891199. The next prime is 8870461891219. The reversal of 8870461891200 is 21981640788.

8870461891200 is a `hidden beast` number, since 8 + 8 + 7 + 0 + 4 + 618 + 9 + 12 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4741026265 + ... + 4741028135.

It is an arithmetic number, because the mean of its divisors is an integer number (17805474960).

Almost surely, 2^{8870461891200} is an apocalyptic number.

8870461891200 is a gapful number since it is divisible by the number (80) 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 8870461891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20511907153920).

8870461891200 is an abundant number, since it is smaller than the sum of its proper divisors (32153352416640).

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

8870461891200 is a wasteful number, since it uses less digits than its factorization.

8870461891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 8870461891200 in words is "eight trillion, eight hundred seventy billion, four hundred sixty-one million, eight hundred ninety-one thousand, two hundred".