287711666012100 has 144 divisors (see below), whose sum is σ = 932666495898816. Its totient is φ = 67863193920000.

The previous prime is 287711666012077. The next prime is 287711666012117. The reversal of 287711666012100 is 1210666117782.

It is a self number, because there is not a number n which added to its sum of digits gives 287711666012100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1178058351 + ... + 1178302550.

It is an arithmetic number, because the mean of its divisors is an integer number (6476850665964).

Almost surely, 2^{287711666012100} is an apocalyptic number.

287711666012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287711666012100 is an abundant number, since it is smaller than the sum of its proper divisors (644954829886716).

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

287711666012100 is a wasteful number, since it uses less digits than its factorization.

287711666012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356360966 (or 2356360959 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 287711666012100 in words is "two hundred eighty-seven trillion, seven hundred eleven billion, six hundred sixty-six million, twelve thousand, one hundred".