87175000260 has 144 divisors (see below), whose sum is σ = 266039766720. Its totient is φ = 23105537280.

The previous prime is 87175000259. The next prime is 87175000261. The reversal of 87175000260 is 6200057178.

87175000260 is a `hidden beast` number, since 87 + 17 + 500 + 0 + 2 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (87175000259) and next prime (87175000261).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87175000261) 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 47 ways as a sum of consecutive naturals, for example, 48727446 + ... + 48729234.

It is an arithmetic number, because the mean of its divisors is an integer number (1847498380).

Almost surely, 2^87175000260 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 87175000260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133019883360).

87175000260 is an abundant number, since it is smaller than the sum of its proper divisors (178864766460).

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

87175000260 is a wasteful number, since it uses less digits than its factorization.

87175000260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 87175000260 in words is "eighty-seven billion, one hundred seventy-five million, two hundred sixty", and thus it is an aban number.