9861910340100 has 864 divisors, whose sum is σ = 36242000363520. Its totient is φ = 2016193628160.

The previous prime is 9861910340077. The next prime is 9861910340111. The reversal of 9861910340100 is 10430191689.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 13716147541 + ... + 13716148259.

It is an arithmetic number, because the mean of its divisors is an integer number (41946759680).

Almost surely, 2^{9861910340100} 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 9861910340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18121000181760).

9861910340100 is an abundant number, since it is smaller than the sum of its proper divisors (26380090023420).

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

9861910340100 is a wasteful number, since it uses less digits than its factorization.

9861910340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 9861910340100 in words is "nine trillion, eight hundred sixty-one billion, nine hundred ten million, three hundred forty thousand, one hundred".