878214494880 has 288 divisors, whose sum is σ = 3166054819200. Its totient is φ = 221061851136.

The previous prime is 878214494813. The next prime is 878214494903. The reversal of 878214494880 is 88494412878.

878214494880 is a `hidden beast` number, since 8 + 7 + 8 + 2 + 144 + 9 + 488 + 0 = 666.

878214494880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7520781 + ... + 7636659.

It is an arithmetic number, because the mean of its divisors is an integer number (10993245900).

Almost surely, 2^878214494880 is an apocalyptic number.

878214494880 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 878214494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583027409600).

878214494880 is an abundant number, since it is smaller than the sum of its proper divisors (2287840324320).

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

878214494880 is a wasteful number, since it uses less digits than its factorization.

878214494880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116196 (or 116185 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 878214494880 in words is "eight hundred seventy-eight billion, two hundred fourteen million, four hundred ninety-four thousand, eight hundred eighty".