969888890880 has 1296 divisors, whose sum is σ = 4190848683840. Its totient is φ = 203163697152.

The previous prime is 969888890857. The next prime is 969888890881. The reversal of 969888890880 is 88098888969.

It is a self number, because there is not a number n which added to its sum of digits gives 969888890880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (969888890881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6977617851 + ... + 6977617989.

It is an arithmetic number, because the mean of its divisors is an integer number (3233679540).

Almost surely, 2^969888890880 is an apocalyptic number.

969888890880 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 969888890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095424341920).

969888890880 is an abundant number, since it is smaller than the sum of its proper divisors (3220959792960).

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

969888890880 is a wasteful number, since it uses less digits than its factorization.

969888890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 81.

The spelling of 969888890880 in words is "nine hundred sixty-nine billion, eight hundred eighty-eight million, eight hundred ninety thousand, eight hundred eighty".