10981532160 has 720 divisors, whose sum is σ = 42890551704. Its totient is φ = 2586574848.

The previous prime is 10981532119. The next prime is 10981532161. The reversal of 10981532160 is 6123518901.

10981532160 is a `hidden beast` number, since 109 + 8 + 1 + 532 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10541539584 + 439992576 = 102672^2 + 20976^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10981532160² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10981532161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207198694 + ... + 207198746.

Almost surely, 2^10981532160 is an apocalyptic number.

10981532160 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 10981532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21445275852).

10981532160 is an abundant number, since it is smaller than the sum of its proper divisors (31909019544).

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

10981532160 is a wasteful number, since it uses less digits than its factorization.

10981532160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10981532160 in words is "ten billion, nine hundred eighty-one million, five hundred thirty-two thousand, one hundred sixty".