87816566880 has 768 divisors, whose sum is σ = 366247526400. Its totient is φ = 19229736960.

The previous prime is 87816566867. The next prime is 87816566897. The reversal of 87816566880 is 8866561878.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105930306 + ... + 105931134.

It is an arithmetic number, because the mean of its divisors is an integer number (476884800).

Almost surely, 2^87816566880 is an apocalyptic number.

87816566880 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 87816566880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183123763200).

87816566880 is an abundant number, since it is smaller than the sum of its proper divisors (278430959520).

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

87816566880 is a wasteful number, since it uses less digits than its factorization.

87816566880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 87816566880 in words is "eighty-seven billion, eight hundred sixteen million, five hundred sixty-six thousand, eight hundred eighty".