10932479712 has 288 divisors, whose sum is σ = 40058323200. Its totient is φ = 2839415040.

The previous prime is 10932479707. The next prime is 10932479741. The reversal of 10932479712 is 21797423901.

10932479712 is a `hidden beast` number, since 109 + 3 + 2 + 479 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10932479712² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724339 + ... + 739277.

It is an arithmetic number, because the mean of its divisors is an integer number (139091400).

Almost surely, 2^10932479712 is an apocalyptic number.

10932479712 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 10932479712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20029161600).

10932479712 is an abundant number, since it is smaller than the sum of its proper divisors (29125843488).

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

10932479712 is a wasteful number, since it uses less digits than its factorization.

10932479712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14987 (or 14962 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 10932479712 in words is "ten billion, nine hundred thirty-two million, four hundred seventy-nine thousand, seven hundred twelve".