1085131766800 has 90 divisors (see below), whose sum is σ = 2769404877758. Its totient is φ = 408520151040.

The previous prime is 1085131766791. The next prime is 1085131766827. The reversal of 1085131766800 is 86671315801.

1085131766800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 135426944016 + 949704822784 = 368004^2 + 974528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4577877 + ... + 4809076.

Almost surely, 2^{1085131766800} is an apocalyptic number.

1085131766800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085131766800 is an abundant number, since it is smaller than the sum of its proper divisors (1684273110958).

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

1085131766800 is a wasteful number, since it uses less digits than its factorization.

1085131766800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9387005 (or 9386977 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 1085131766800 in words is "one trillion, eighty-five billion, one hundred thirty-one million, seven hundred sixty-six thousand, eight hundred".