10511681040 has 800 divisors, whose sum is σ = 44205384960. Its totient is φ = 2264371200.

The previous prime is 10511681027. The next prime is 10511681041. The reversal of 10511681040 is 4018611501.

It is a super-2 number, since 2×10511681040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10511680995 and 10511681013.

It is not an unprimeable number, because it can be changed into a prime (10511681041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80241775 + ... + 80241905.

Almost surely, 2^10511681040 is an apocalyptic number.

10511681040 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 10511681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22102692480).

10511681040 is an abundant number, since it is smaller than the sum of its proper divisors (33693703920).

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

10511681040 is a wasteful number, since it uses less digits than its factorization.

10511681040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 10511681040 in words is "ten billion, five hundred eleven million, six hundred eighty-one thousand, forty".