10950857632 has 384 divisors, whose sum is σ = 29262643200. Its totient is φ = 3948134400.

The previous prime is 10950857627. The next prime is 10950857639. The reversal of 10950857632 is 23675805901.

It is not an unprimeable number, because it can be changed into a prime (10950857639) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45819369 + ... + 45819607.

It is an arithmetic number, because the mean of its divisors is an integer number (76204800).

Almost surely, 2^10950857632 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 10950857632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14631321600).

10950857632 is an abundant number, since it is smaller than the sum of its proper divisors (18311785568).

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

10950857632 is a wasteful number, since it uses less digits than its factorization.

10950857632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 10950857632 in words is "ten billion, nine hundred fifty million, eight hundred fifty-seven thousand, six hundred thirty-two".