878542848000 has 760 divisors, whose sum is σ = 3285618548784. Its totient is φ = 233570304000.

The previous prime is 878542847983. The next prime is 878542848041. The reversal of 878542848000 is 848245878.

878542848000 is a `hidden beast` number, since 87 + 85 + 4 + 2 + 8 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×878542848000² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2654207835 + ... + 2654208165.

Almost surely, 2^878542848000 is an apocalyptic number.

878542848000 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 878542848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642809274392).

878542848000 is an abundant number, since it is smaller than the sum of its proper divisors (2407075700784).

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

878542848000 is an frugal number, since it uses more digits than its factorization.

878542848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 878542848000 in words is "eight hundred seventy-eight billion, five hundred forty-two million, eight hundred forty-eight thousand".