9877093218432 has 1536 divisors, whose sum is σ = 34446908620800. Its totient is φ = 2685247488000.

The previous prime is 9877093218397. The next prime is 9877093218449. The reversal of 9877093218432 is 2348123907789.

9877093218432 is a `hidden beast` number, since 98 + 7 + 7 + 0 + 93 + 21 + 8 + 432 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9877093218432.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57093024298 + ... + 57093024470.

It is an arithmetic number, because the mean of its divisors is an integer number (22426372800).

Almost surely, 2^{9877093218432} is an apocalyptic number.

9877093218432 is a gapful number since it is divisible by the number (92) 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 9877093218432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17223454310400).

9877093218432 is an abundant number, since it is smaller than the sum of its proper divisors (24569815402368).

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

9877093218432 is a wasteful number, since it uses less digits than its factorization.

9877093218432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 9877093218432 in words is "nine trillion, eight hundred seventy-seven billion, ninety-three million, two hundred eighteen thousand, four hundred thirty-two".