878170844160 has 880 divisors, whose sum is σ = 3351264554880. Its totient is φ = 219892285440.

The previous prime is 878170844149. The next prime is 878170844179. The reversal of 878170844160 is 61448071878.

878170844160 is a `hidden beast` number, since 8 + 7 + 81 + 70 + 84 + 416 + 0 = 666.

It is a super-2 number, since 2×878170844160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 878170844097 and 878170844106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2037519145 + ... + 2037519575.

It is an arithmetic number, because the mean of its divisors is an integer number (3808255176).

Almost surely, 2^878170844160 is an apocalyptic number.

878170844160 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 878170844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675632277440).

878170844160 is an abundant number, since it is smaller than the sum of its proper divisors (2473093710720).

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

878170844160 is an equidigital number, since it uses as much as digits as its factorization.

878170844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 878170844160 in words is "eight hundred seventy-eight billion, one hundred seventy million, eight hundred forty-four thousand, one hundred sixty".