10511331040 has 96 divisors (see below), whose sum is σ = 28959940800. Its totient is φ = 3603866112.

The previous prime is 10511330987. The next prime is 10511331049. The reversal of 10511331040 is 4013311501.

It is a super-2 number, since 2×10511331040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10511330999 and 10511331017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10511331049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40887 + ... + 150646.

It is an arithmetic number, because the mean of its divisors is an integer number (301666050).

Almost surely, 2^10511331040 is an apocalyptic number.

10511331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10511331040 is an abundant number, since it is smaller than the sum of its proper divisors (18448609760).

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

10511331040 is an equidigital number, since it uses as much as digits as its factorization.

10511331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191569 (or 191547 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 10511331040 its reverse (4013311501), we get a palindrome (14524642541).

It can be divided in two parts, 10511 and 331040, that added together give a triangular number (341551 = T₈₂₆).

The spelling of 10511331040 in words is "ten billion, five hundred eleven million, three hundred thirty-one thousand, forty".