10611544032 has 144 divisors (see below), whose sum is σ = 31231968768. Its totient is φ = 3414078720.

The previous prime is 10611543991. The next prime is 10611544049. The reversal of 10611544032 is 23044511601.

It is a happy number.

10611544032 is a `hidden beast` number, since 1 + 0 + 611 + 5 + 4 + 40 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10611544032² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10611543987 and 10611544005.

It is a congruent number.

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, 3953763 + ... + 3956445.

It is an arithmetic number, because the mean of its divisors is an integer number (216888672).

Almost surely, 2^10611544032 is an apocalyptic number.

10611544032 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 10611544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15615984384).

10611544032 is an abundant number, since it is smaller than the sum of its proper divisors (20620424736).

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

10611544032 is a wasteful number, since it uses less digits than its factorization.

10611544032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10611544032 in words is "ten billion, six hundred eleven million, five hundred forty-four thousand, thirty-two".