878185488960 has 1680 divisors, whose sum is σ = 3628362608640. Its totient is φ = 201076162560.

The previous prime is 878185488923. The next prime is 878185488979. The reversal of 878185488960 is 69884581878.

878185488960 is a `hidden beast` number, since 8 + 7 + 8 + 1 + 85 + 488 + 9 + 60 = 666.

878185488960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3938051409 + ... + 3938051631.

It is an arithmetic number, because the mean of its divisors is an integer number (2159739648).

Almost surely, 2^878185488960 is an apocalyptic number.

878185488960 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 878185488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814181304320).

878185488960 is an abundant number, since it is smaller than the sum of its proper divisors (2750177119680).

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

878185488960 is a wasteful number, since it uses less digits than its factorization.

878185488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 878185488960 in words is "eight hundred seventy-eight billion, one hundred eighty-five million, four hundred eighty-eight thousand, nine hundred sixty".