1085557824672 has 24 divisors (see below), whose sum is σ = 2849589290016. Its totient is φ = 361852608192.

The previous prime is 1085557824667. The next prime is 1085557824721. The reversal of 1085557824672 is 2764287555801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5653946908 + ... + 5653947099.

It is an arithmetic number, because the mean of its divisors is an integer number (118732887084).

Almost surely, 2^{1085557824672} is an apocalyptic number.

1085557824672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1085557824672 is an abundant number, since it is smaller than the sum of its proper divisors (1764031465344).

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

1085557824672 is a wasteful number, since it uses less digits than its factorization.

1085557824672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11307894020 (or 11307894012 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 60.

The spelling of 1085557824672 in words is "one trillion, eighty-five billion, five hundred fifty-seven million, eight hundred twenty-four thousand, six hundred seventy-two".