869987018880 has 960 divisors, whose sum is σ = 3771515753280. Its totient is φ = 190195568640.

The previous prime is 869987018867. The next prime is 869987018899. The reversal of 869987018880 is 88810789968.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 869987018799 and 869987018808.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58416235 + ... + 58431125.

It is an arithmetic number, because the mean of its divisors is an integer number (3928662243).

Almost surely, 2^869987018880 is an apocalyptic number.

869987018880 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 869987018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885757876640).

869987018880 is an abundant number, since it is smaller than the sum of its proper divisors (2901528734400).

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

869987018880 is a wasteful number, since it uses less digits than its factorization.

869987018880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14959 (or 14931 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 72.

The spelling of 869987018880 in words is "eight hundred sixty-nine billion, nine hundred eighty-seven million, eighteen thousand, eight hundred eighty".