878917104240000 has 3840 divisors, whose sum is σ = 3682571599872000. Its totient is φ = 184525350912000.

The previous prime is 878917104239963. The next prime is 878917104240013. The reversal of 878917104240000 is 42401719878.

It is a super-3 number, since 3×878917104240000³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1333713359671 + ... + 1333713360329.

It is an arithmetic number, because the mean of its divisors is an integer number (959003020800).

Almost surely, 2^{878917104240000} is an apocalyptic number.

878917104240000 is a gapful number since it is divisible by the number (80) 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 878917104240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841285799936000).

878917104240000 is an abundant number, since it is smaller than the sum of its proper divisors (2803654495632000).

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

878917104240000 is a wasteful number, since it uses less digits than its factorization.

878917104240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

Adding to 878917104240000 its reverse (42401719878), we get a palindrome (878959505959878).

The spelling of 878917104240000 in words is "eight hundred seventy-eight trillion, nine hundred seventeen billion, one hundred four million, two hundred forty thousand".