1081793868672 has 128 divisors (see below), whose sum is σ = 3135140870400. Its totient is φ = 327774781440.

The previous prime is 1081793868671. The next prime is 1081793868689. The reversal of 1081793868672 is 2768683971801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081793868671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57170829 + ... + 57189747.

It is an arithmetic number, because the mean of its divisors is an integer number (24493288050).

Almost surely, 2^{1081793868672} is an apocalyptic number.

1081793868672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1081793868672 is an abundant number, since it is smaller than the sum of its proper divisors (2053347001728).

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

1081793868672 is a wasteful number, since it uses less digits than its factorization.

1081793868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32484 (or 32472 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 1081793868672 in words is "one trillion, eighty-one billion, seven hundred ninety-three million, eight hundred sixty-eight thousand, six hundred seventy-two".