10511406540 has 144 divisors (see below), whose sum is σ = 32495482656. Its totient is φ = 2749593600.

The previous prime is 10511406481. The next prime is 10511406559. The reversal of 10511406540 is 4560411501.

10511406540 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 1 + 4 + 0 + 654 + 0 = 666.

10511406540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10511406540² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4863060 + ... + 4865220.

It is an arithmetic number, because the mean of its divisors is an integer number (225663074).

Almost surely, 2^10511406540 is an apocalyptic number.

10511406540 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 10511406540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16247741328).

10511406540 is an abundant number, since it is smaller than the sum of its proper divisors (21984076116).

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

10511406540 is a wasteful number, since it uses less digits than its factorization.

10511406540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10511406540 in words is "ten billion, five hundred eleven million, four hundred six thousand, five hundred forty".