87561785675 has 72 divisors (see below), whose sum is σ = 142271760096. Its totient is φ = 52163205120.

The previous prime is 87561785629. The next prime is 87561785681. The reversal of 87561785675 is 57658716578.

It is not a de Polignac number, because 87561785675 - 2¹² = 87561781579 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a Duffinian number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 415697 + ... + 589853.

It is an arithmetic number, because the mean of its divisors is an integer number (1975996668).

Almost surely, 2^87561785675 is an apocalyptic number.

87561785675 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

87561785675 is a deficient number, since it is larger than the sum of its proper divisors (54709974421).

87561785675 is a wasteful number, since it uses less digits than its factorization.

87561785675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174217 (or 174199 counting only the distinct ones).

The product of its digits is 98784000, while the sum is 65.

The spelling of 87561785675 in words is "eighty-seven billion, five hundred sixty-one million, seven hundred eighty-five thousand, six hundred seventy-five".