878808565908000 has 6912 divisors, whose sum is σ = 4439720910643200. Its totient is φ = 168435774259200.

The previous prime is 878808565907999. The next prime is 878808565908001. The reversal of 878808565908000 is 809565808878.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (878808565907999) and next prime (878808565908001).

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

It is a self number, because there is not a number n which added to its sum of digits gives 878808565908000.

It is not an unprimeable number, because it can be changed into a prime (878808565908001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 305247850561 + ... + 305247853439.

It is an arithmetic number, because the mean of its divisors is an integer number (642320733600).

Almost surely, 2^{878808565908000} is an apocalyptic number.

878808565908000 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 878808565908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219860455321600).

878808565908000 is an abundant number, since it is smaller than the sum of its proper divisors (3560912344735200).

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

878808565908000 is a wasteful number, since it uses less digits than its factorization.

878808565908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 72.

The spelling of 878808565908000 in words is "eight hundred seventy-eight trillion, eight hundred eight billion, five hundred sixty-five million, nine hundred eight thousand".