87467993088 has 192 divisors, whose sum is σ = 282183108480. Its totient is φ = 23520608256.

The previous prime is 87467993069. The next prime is 87467993089. The reversal of 87467993088 is 88039976478.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (87467993089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671320 + ... + 790952.

It is an arithmetic number, because the mean of its divisors is an integer number (1469703690).

Almost surely, 2^87467993088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87467993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141091554240).

87467993088 is an abundant number, since it is smaller than the sum of its proper divisors (194715115392).

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

87467993088 is a wasteful number, since it uses less digits than its factorization.

87467993088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119682 (or 119662 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 87467993088 in words is "eighty-seven billion, four hundred sixty-seven million, nine hundred ninety-three thousand, eighty-eight".