10611553560 has 128 divisors (see below), whose sum is σ = 33491232000. Its totient is φ = 2685810176.

The previous prime is 10611553543. The next prime is 10611553607. The reversal of 10611553560 is 6535511601.

It is a super-2 number, since 2×10611553560² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 179479 + ... + 231161.

It is an arithmetic number, because the mean of its divisors is an integer number (261650250).

Almost surely, 2^10611553560 is an apocalyptic number.

10611553560 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 10611553560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16745616000).

10611553560 is an abundant number, since it is smaller than the sum of its proper divisors (22879678440).

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

10611553560 is a wasteful number, since it uses less digits than its factorization.

10611553560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51785 (or 51781 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 10611553560 in words is "ten billion, six hundred eleven million, five hundred fifty-three thousand, five hundred sixty".