10866885120 has 960 divisors, whose sum is σ = 47615952384. Its totient is φ = 2229534720.

The previous prime is 10866885101. The next prime is 10866885121. The reversal of 10866885120 is 2158866801.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10866885120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10866885121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148861404 + ... + 148861476.

Almost surely, 2^10866885120 is an apocalyptic number.

10866885120 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 10866885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23807976192).

10866885120 is an abundant number, since it is smaller than the sum of its proper divisors (36749067264).

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

10866885120 is a wasteful number, since it uses less digits than its factorization.

10866885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 10866885120 in words is "ten billion, eight hundred sixty-six million, eight hundred eighty-five thousand, one hundred twenty".