1081295167680 has 1008 divisors, whose sum is σ = 4809774138624. Its totient is φ = 220770385920.

The previous prime is 1081295167663. The next prime is 1081295167691. The reversal of 1081295167680 is 867615921801.

It is a happy number.

1081295167680 is a `hidden beast` number, since 108 + 12 + 9 + 516 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56861854 + ... + 56880866.

It is an arithmetic number, because the mean of its divisors is an integer number (4771601328).

Almost surely, 2^{1081295167680} is an apocalyptic number.

1081295167680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1081295167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404887069312).

1081295167680 is an abundant number, since it is smaller than the sum of its proper divisors (3728478970944).

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

1081295167680 is a wasteful number, since it uses less digits than its factorization.

1081295167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19094 (or 19074 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1081295167680 in words is "one trillion, eighty-one billion, two hundred ninety-five million, one hundred sixty-seven thousand, six hundred eighty".