87067758720 has 128 divisors (see below), whose sum is σ = 280390199040. Its totient is φ = 22978658304.

The previous prime is 87067758719. The next prime is 87067758733. The reversal of 87067758720 is 2785776078.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47512 + ... + 419991.

It is an arithmetic number, because the mean of its divisors is an integer number (2190548430).

Almost surely, 2^87067758720 is an apocalyptic number.

87067758720 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 87067758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140195099520).

87067758720 is an abundant number, since it is smaller than the sum of its proper divisors (193322440320).

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

87067758720 is a wasteful number, since it uses less digits than its factorization.

87067758720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467622 (or 467610 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 57.

The spelling of 87067758720 in words is "eighty-seven billion, sixty-seven million, seven hundred fifty-eight thousand, seven hundred twenty".