87166721600 has 168 divisors, whose sum is σ = 251105261568. Its totient is φ = 29156659200.

The previous prime is 87166721581. The next prime is 87166721627. The reversal of 87166721600 is 612766178.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364289 + ... + 554111.

It is an arithmetic number, because the mean of its divisors is an integer number (1494674176).

Almost surely, 2^87166721600 is an apocalyptic number.

87166721600 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 87166721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125552630784).

87166721600 is an abundant number, since it is smaller than the sum of its proper divisors (163938539968).

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

87166721600 is a wasteful number, since it uses less digits than its factorization.

87166721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189893 (or 189878 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 87166721600 in words is "eighty-seven billion, one hundred sixty-six million, seven hundred twenty-one thousand, six hundred".