9878102166240 has 2304 divisors, whose sum is σ = 45153826099200. Its totient is φ = 1945640632320.

The previous prime is 9878102166239. The next prime is 9878102166259. The reversal of 9878102166240 is 426612018789.

It is a happy number.

9878102166240 is a `hidden beast` number, since 9 + 8 + 7 + 8 + 1 + 0 + 2 + 1 + 6 + 624 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17119760832 + ... + 17119761408.

It is an arithmetic number, because the mean of its divisors is an integer number (19598014800).

Almost surely, 2^{9878102166240} is an apocalyptic number.

9878102166240 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 9878102166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22576913049600).

9878102166240 is an abundant number, since it is smaller than the sum of its proper divisors (35275723932960).

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

9878102166240 is a wasteful number, since it uses less digits than its factorization.

9878102166240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 9878102166240 in words is "nine trillion, eight hundred seventy-eight billion, one hundred two million, one hundred sixty-six thousand, two hundred forty".