87612816768000 has 704 divisors, whose sum is σ = 310934784416256. Its totient is φ = 21821030400000.

The previous prime is 87612816767969. The next prime is 87612816768079. The reversal of 87612816768000 is 86761821678.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 855116775 + ... + 855219225.

It is an arithmetic number, because the mean of its divisors is an integer number (441668727864).

Almost surely, 2^{87612816768000} is an apocalyptic number.

87612816768000 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 87612816768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155467392208128).

87612816768000 is an abundant number, since it is smaller than the sum of its proper divisors (223321967648256).

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

87612816768000 is a wasteful number, since it uses less digits than its factorization.

87612816768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102637 (or 102609 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 87612816768000 in words is "eighty-seven trillion, six hundred twelve billion, eight hundred sixteen million, seven hundred sixty-eight thousand".