1032661675056 has 160 divisors (see below), whose sum is σ = 2990280395520. Its totient is φ = 304380518400.

The previous prime is 1032661675009. The next prime is 1032661675057. The reversal of 1032661675056 is 6505761662301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1032661674996 and 1032661675014.

It is not an unprimeable number, because it can be changed into a prime (1032661675057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5377300 + ... + 5566028.

It is an arithmetic number, because the mean of its divisors is an integer number (18689252472).

Almost surely, 2^{1032661675056} is an apocalyptic number.

1032661675056 is a gapful number since it is divisible by the number (16) 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 1032661675056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495140197760).

1032661675056 is an abundant number, since it is smaller than the sum of its proper divisors (1957618720464).

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

1032661675056 is a wasteful number, since it uses less digits than its factorization.

1032661675056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189035 (or 189029 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 1032661675056 in words is "one trillion, thirty-two billion, six hundred sixty-one million, six hundred seventy-five thousand, fifty-six".