9807113988000 has 768 divisors, whose sum is σ = 41256277171200. Its totient is φ = 2216424038400.

The previous prime is 9807113987953. The next prime is 9807113988013. The reversal of 9807113988000 is 8893117089.

9807113988000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67211122 + ... + 67356878.

It is an arithmetic number, because the mean of its divisors is an integer number (53719110900).

Almost surely, 2^{9807113988000} is an apocalyptic number.

9807113988000 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 9807113988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20628138585600).

9807113988000 is an abundant number, since it is smaller than the sum of its proper divisors (31449163183200).

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

9807113988000 is a wasteful number, since it uses less digits than its factorization.

9807113988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145887 (or 145863 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 9807113988000 in words is "nine trillion, eight hundred seven billion, one hundred thirteen million, nine hundred eighty-eight thousand".