9993864969888 has 576 divisors, whose sum is σ = 29922520320000. Its totient is φ = 2910260441088.

The previous prime is 9993864969839. The next prime is 9993864969901. The reversal of 9993864969888 is 8889694683999.

It is a Harshad number since it is a multiple of its sum of digits (96).

It is a junction number, because it is equal to n+sod(n) for n = 9993864969795 and 9993864969804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3277750188 + ... + 3277753236.

It is an arithmetic number, because the mean of its divisors is an integer number (51948820000).

Almost surely, 2^{9993864969888} 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 9993864969888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961260160000).

9993864969888 is an abundant number, since it is smaller than the sum of its proper divisors (19928655350112).

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

9993864969888 is a wasteful number, since it uses less digits than its factorization.

9993864969888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3218 counting only the distinct ones).

The product of its digits is 104485552128, while the sum is 96.

The spelling of 9993864969888 in words is "nine trillion, nine hundred ninety-three billion, eight hundred sixty-four million, nine hundred sixty-nine thousand, eight hundred eighty-eight".