9877850384688 has 1280 divisors, whose sum is σ = 36724049510400. Its totient is φ = 2494476103680.

The previous prime is 9877850384687. The next prime is 9877850384713. The reversal of 9877850384688 is 8864830587789.

9877850384688 is a `hidden beast` number, since 9 + 8 + 7 + 78 + 50 + 38 + 468 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (9877850384683) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9907572606 + ... + 9907573602.

It is an arithmetic number, because the mean of its divisors is an integer number (28690663680).

Almost surely, 2^{9877850384688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9877850384688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18362024755200).

9877850384688 is an abundant number, since it is smaller than the sum of its proper divisors (26846199125712).

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

9877850384688 is a wasteful number, since it uses less digits than its factorization.

9877850384688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 5202247680, while the sum is 81.

The spelling of 9877850384688 in words is "nine trillion, eight hundred seventy-seven billion, eight hundred fifty million, three hundred eighty-four thousand, six hundred eighty-eight".