9818870906880 has 1176 divisors, whose sum is σ = 40489174263552. Its totient is φ = 2238198054912.

The previous prime is 9818870906869. The next prime is 9818870906969. The reversal of 9818870906880 is 886090788189.

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 = 9818870906799 and 9818870906808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26754416457 + ... + 26754416823.

It is an arithmetic number, because the mean of its divisors is an integer number (34429569952).

Almost surely, 2^{9818870906880} is an apocalyptic number.

9818870906880 is a gapful number since it is divisible by the number (90) 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 9818870906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20244587131776).

9818870906880 is an abundant number, since it is smaller than the sum of its proper divisors (30670303356672).

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

9818870906880 is an frugal number, since it uses more digits than its factorization.

9818870906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 384 counting only the distinct ones).

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

The spelling of 9818870906880 in words is "nine trillion, eight hundred eighteen billion, eight hundred seventy million, nine hundred six thousand, eight hundred eighty".