87867823680 has 1792 divisors, whose sum is σ = 410962083840. Its totient is φ = 17167417344.

The previous prime is 87867823649. The next prime is 87867823709. The reversal of 87867823680 is 8632876878.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 777591304 + ... + 777591416.

It is an arithmetic number, because the mean of its divisors is an integer number (229331520).

Almost surely, 2^87867823680 is an apocalyptic number.

87867823680 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 87867823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205481041920).

87867823680 is an abundant number, since it is smaller than the sum of its proper divisors (323094260160).

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

87867823680 is a wasteful number, since it uses less digits than its factorization.

87867823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 87867823680 in words is "eighty-seven billion, eight hundred sixty-seven million, eight hundred twenty-three thousand, six hundred eighty".