10511061120 has 512 divisors, whose sum is σ = 42977088000. Its totient is φ = 2378170368.

The previous prime is 10511061109. The next prime is 10511061139. The reversal of 10511061120 is 2116011501.

It is a happy number.

10511061120 is a `hidden beast` number, since 1 + 0 + 51 + 1 + 0 + 611 + 2 + 0 = 666.

It is a super-2 number, since 2×10511061120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10511061093 and 10511061102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13668096 + ... + 13668864.

It is an arithmetic number, because the mean of its divisors is an integer number (83939625).

Almost surely, 2^10511061120 is an apocalyptic number.

10511061120 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 10511061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21488544000).

10511061120 is an abundant number, since it is smaller than the sum of its proper divisors (32466026880).

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

10511061120 is a wasteful number, since it uses less digits than its factorization.

10511061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 10511061120 its reverse (2116011501), we get a palindrome (12627072621).

The spelling of 10511061120 in words is "ten billion, five hundred eleven million, sixty-one thousand, one hundred twenty".