9904168380288 has 768 divisors, whose sum is σ = 34188273504000. Its totient is φ = 2516197146624.

The previous prime is 9904168380283. The next prime is 9904168380307. The reversal of 9904168380288 is 8820838614099.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9904168380283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 767818063 + ... + 767830961.

It is an arithmetic number, because the mean of its divisors is an integer number (44515981125).

Almost surely, 2^{9904168380288} is an apocalyptic number.

9904168380288 is a gapful number since it is divisible by the number (98) 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 9904168380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17094136752000).

9904168380288 is an abundant number, since it is smaller than the sum of its proper divisors (24284105123712).

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

9904168380288 is a wasteful number, since it uses less digits than its factorization.

9904168380288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13059 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 66.

The spelling of 9904168380288 in words is "nine trillion, nine hundred four billion, one hundred sixty-eight million, three hundred eighty thousand, two hundred eighty-eight".