87181809792 has 384 divisors, whose sum is σ = 294892591680. Its totient is φ = 22566297600.

The previous prime is 87181809769. The next prime is 87181809821. The reversal of 87181809792 is 29790818178.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82168942 + ... + 82170002.

Almost surely, 2^87181809792 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 87181809792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147446295840).

87181809792 is an abundant number, since it is smaller than the sum of its proper divisors (207710781888).

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

87181809792 is a wasteful number, since it uses less digits than its factorization.

87181809792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 60.

The spelling of 87181809792 in words is "eighty-seven billion, one hundred eighty-one million, eight hundred nine thousand, seven hundred ninety-two".