10947589632 has 240 divisors, whose sum is σ = 38011733760. Its totient is φ = 2963091456.

The previous prime is 10947589589. The next prime is 10947589699. The reversal of 10947589632 is 23698574901.

10947589632 is a `hidden beast` number, since 10 + 9 + 47 + 589 + 6 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603933 + ... + 621795.

It is an arithmetic number, because the mean of its divisors is an integer number (158382224).

It is a 1-persistent number, because it is pandigital, but 2⋅10947589632 = 21895179264 is not.

Almost surely, 2^10947589632 is an apocalyptic number.

10947589632 is a gapful number since it is divisible by the number (12) 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 10947589632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19005866880).

10947589632 is an abundant number, since it is smaller than the sum of its proper divisors (27064144128).

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

10947589632 is a wasteful number, since it uses less digits than its factorization.

10947589632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17913 (or 17894 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10947589632 in words is "ten billion, nine hundred forty-seven million, five hundred eighty-nine thousand, six hundred thirty-two".