1081729825056 has 72 divisors (see below), whose sum is σ = 3077213319180. Its totient is φ = 360454219776.

The previous prime is 1081729825049. The next prime is 1081729825061. The reversal of 1081729825056 is 6505289271801.

1081729825056 is a `hidden beast` number, since 108 + 1 + 7 + 29 + 8 + 2 + 505 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1056200176656 + 25529648400 = 1027716^2 + 159780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1081729824993 and 1081729825011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214500 + ... + 1486428.

Almost surely, 2^{1081729825056} is an apocalyptic number.

1081729825056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1081729825056 is an abundant number, since it is smaller than the sum of its proper divisors (1995483494124).

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

1081729825056 is a wasteful number, since it uses less digits than its factorization.

1081729825056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274898 (or 1274887 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1081729825056 in words is "one trillion, eighty-one billion, seven hundred twenty-nine million, eight hundred twenty-five thousand, fifty-six".