10531160640 has 1008 divisors, whose sum is σ = 49076067456. Its totient is φ = 2012774400.

The previous prime is 10531160639. The next prime is 10531160671. The reversal of 10531160640 is 4606113501.

10531160640 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 16 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10531160640² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37477300 + ... + 37477580.

Almost surely, 2^10531160640 is an apocalyptic number.

10531160640 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 10531160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24538033728).

10531160640 is an abundant number, since it is smaller than the sum of its proper divisors (38544906816).

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

10531160640 is a wasteful number, since it uses less digits than its factorization.

10531160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

It can be divided in two parts, 10531 and 160640, that added together give a palindrome (171171).

The spelling of 10531160640 in words is "ten billion, five hundred thirty-one million, one hundred sixty thousand, six hundred forty".