10611084960 has 576 divisors, whose sum is σ = 44385449472. Its totient is φ = 2255413248.

The previous prime is 10611084929. The next prime is 10611085057. The reversal of 10611084960 is 6948011601.

It is a happy number.

10611084960 is a `hidden beast` number, since 1 + 0 + 61 + 108 + 496 + 0 = 666.

It is a super-2 number, since 2×10611084960² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8577462 + ... + 8578698.

It is an arithmetic number, because the mean of its divisors is an integer number (77058072).

Almost surely, 2^10611084960 is an apocalyptic number.

10611084960 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 10611084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22192724736).

10611084960 is an abundant number, since it is smaller than the sum of its proper divisors (33774364512).

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

10611084960 is a wasteful number, since it uses less digits than its factorization.

10611084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1314 counting only the distinct ones).

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

The spelling of 10611084960 in words is "ten billion, six hundred eleven million, eighty-four thousand, nine hundred sixty".