10832621020056 has 640 divisors, whose sum is σ = 36500492160000. Its totient is φ = 2964514775040.

The previous prime is 10832621020051. The next prime is 10832621020079. The reversal of 10832621020056 is 65002012623801.

10832621020056 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 2 + 621 + 0 + 20 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10832621020056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10832621020051) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 310257256 + ... + 310292168.

It is an arithmetic number, because the mean of its divisors is an integer number (57032019000).

Almost surely, 2^{10832621020056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10832621020056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18250246080000).

10832621020056 is an abundant number, since it is smaller than the sum of its proper divisors (25667871139944).

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

10832621020056 is a wasteful number, since it uses less digits than its factorization.

10832621020056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35069 (or 35056 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 10832621020056 its reverse (65002012623801), we get a palindrome (75834633643857).

The spelling of 10832621020056 in words is "ten trillion, eight hundred thirty-two billion, six hundred twenty-one million, twenty thousand, fifty-six".