10811604960 has 576 divisors, whose sum is σ = 42350817600. Its totient is φ = 2489647104.

The previous prime is 10811604949. The next prime is 10811604977. The reversal of 10811604960 is 6940611801.

It is a happy number.

10811604960 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 160 + 496 + 0 = 666.

It is a super-2 number, since 2×10811604960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40191706 + ... + 40191974.

It is an arithmetic number, because the mean of its divisors is an integer number (73525725).

Almost surely, 2^10811604960 is an apocalyptic number.

10811604960 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 10811604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21175408800).

10811604960 is an abundant number, since it is smaller than the sum of its proper divisors (31539212640).

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

10811604960 is a wasteful number, since it uses less digits than its factorization.

10811604960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10811604960 in words is "ten billion, eight hundred eleven million, six hundred four thousand, nine hundred sixty".