878927874048 has 1152 divisors, whose sum is σ = 3243502080000. Its totient is φ = 237027409920.

The previous prime is 878927874007. The next prime is 878927874089. The reversal of 878927874048 is 840478729878.

It is an interprime number because it is at equal distance from previous prime (878927874007) and next prime (878927874089).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3243276153 + ... + 3243276423.

It is an arithmetic number, because the mean of its divisors is an integer number (2815540000).

Almost surely, 2^878927874048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 878927874048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621751040000).

878927874048 is an abundant number, since it is smaller than the sum of its proper divisors (2364574205952).

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

878927874048 is an equidigital number, since it uses as much as digits as its factorization.

878927874048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 72.

The spelling of 878927874048 in words is "eight hundred seventy-eight billion, nine hundred twenty-seven million, eight hundred seventy-four thousand, forty-eight".