87660110800 has 60 divisors (see below), whose sum is σ = 212535663340. Its totient is φ = 34742338560.

The previous prime is 87660110777. The next prime is 87660110801. The reversal of 87660110800 is 801106678.

It can be written as a sum of positive squares in 6 ways, for example, as 644550544 + 87015560256 = 25388^2 + 294984^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87660110800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87660110801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 961677 + ... + 1048876.

Almost surely, 2^87660110800 is an apocalyptic number.

87660110800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87660110800 is an abundant number, since it is smaller than the sum of its proper divisors (124875552540).

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

87660110800 is a wasteful number, since it uses less digits than its factorization.

87660110800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010680 (or 2010669 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 87660110800 in words is "eighty-seven billion, six hundred sixty million, one hundred ten thousand, eight hundred".