10511344332 has 72 divisors (see below), whose sum is σ = 27360169200. Its totient is φ = 3400519680.

The previous prime is 10511344309. The next prime is 10511344351. The reversal of 10511344332 is 23344311501.

It is a happy number.

10511344332 is a `hidden beast` number, since 105 + 113 + 443 + 3 + 2 = 666.

It is a super-2 number, since 2×10511344332² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10511344296 and 10511344305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266419 + ... + 303317.

It is an arithmetic number, because the mean of its divisors is an integer number (380002350).

Almost surely, 2^10511344332 is an apocalyptic number.

10511344332 is a gapful number since it is divisible by the number (12) 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 10511344332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680084600).

10511344332 is an abundant number, since it is smaller than the sum of its proper divisors (16848824868).

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

10511344332 is a wasteful number, since it uses less digits than its factorization.

10511344332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37143 (or 37138 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10511344332 its reverse (23344311501), we get a palindrome (33855655833).

The spelling of 10511344332 in words is "ten billion, five hundred eleven million, three hundred forty-four thousand, three hundred thirty-two".