87285666001200 has 120 divisors (see below), whose sum is σ = 288624602366976. Its totient is φ = 22525333152000.

The previous prime is 87285666001141. The next prime is 87285666001229. The reversal of 87285666001200 is 210066658278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173157236 + ... + 1173231635.

Almost surely, 2^{87285666001200} is an apocalyptic number.

87285666001200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87285666001200 is an abundant number, since it is smaller than the sum of its proper divisors (201338936365776).

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

87285666001200 is a wasteful number, since it uses less digits than its factorization.

87285666001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346388923 (or 2346388912 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 87285666001200 in words is "eighty-seven trillion, two hundred eighty-five billion, six hundred sixty-six million, one thousand, two hundred".