10971731520 has 168 divisors, whose sum is σ = 37832004600. Its totient is φ = 2918522880.

The previous prime is 10971731479. The next prime is 10971731531. The reversal of 10971731520 is 2513717901.

10971731520 is a `hidden beast` number, since 1 + 0 + 97 + 17 + 31 + 520 = 666.

10971731520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 227165184 + 10744566336 = 15072^2 + 103656^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1207956 + ... + 1217004.

Almost surely, 2^10971731520 is an apocalyptic number.

10971731520 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 10971731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18916002300).

10971731520 is an abundant number, since it is smaller than the sum of its proper divisors (26860273080).

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

10971731520 is a wasteful number, since it uses less digits than its factorization.

10971731520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 10971731520 in words is "ten billion, nine hundred seventy-one million, seven hundred thirty-one thousand, five hundred twenty".