87382110816 has 1728 divisors, whose sum is σ = 372687194880. Its totient is φ = 19020718080.

The previous prime is 87382110779. The next prime is 87382110817. The reversal of 87382110816 is 61801128378.

It is a happy number.

87382110816 is a `hidden beast` number, since 87 + 382 + 110 + 81 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87382110817) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1648719046 + ... + 1648719098.

It is an arithmetic number, because the mean of its divisors is an integer number (215675460).

Almost surely, 2^87382110816 is an apocalyptic number.

87382110816 is a gapful number since it is divisible by the number (86) 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 87382110816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186343597440).

87382110816 is an abundant number, since it is smaller than the sum of its proper divisors (285305084064).

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

87382110816 is a wasteful number, since it uses less digits than its factorization.

87382110816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 87382110816 in words is "eighty-seven billion, three hundred eighty-two million, one hundred ten thousand, eight hundred sixteen".