10933206480 has 960 divisors, whose sum is σ = 47539814400. Its totient is φ = 2194698240.

The previous prime is 10933206467. The next prime is 10933206503. The reversal of 10933206480 is 8460233901.

10933206480 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 3 + 2 + 0 + 648 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86088177 + ... + 86088303.

It is an arithmetic number, because the mean of its divisors is an integer number (49520640).

Almost surely, 2^10933206480 is an apocalyptic number.

10933206480 is a gapful number since it is divisible by the number (10) 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 10933206480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23769907200).

10933206480 is an abundant number, since it is smaller than the sum of its proper divisors (36606607920).

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

10933206480 is a wasteful number, since it uses less digits than its factorization.

10933206480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10933206480 in words is "ten billion, nine hundred thirty-three million, two hundred six thousand, four hundred eighty".