10605885120 has 672 divisors, whose sum is σ = 41886835200. Its totient is φ = 2514530304.

The previous prime is 10605885083. The next prime is 10605885151. The reversal of 10605885120 is 2158850601.

10605885120 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 588 + 51 + 20 = 666.

It is a super-2 number, since 2×10605885120² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200111014 + ... + 200111066.

It is an arithmetic number, because the mean of its divisors is an integer number (62331600).

Almost surely, 2^10605885120 is an apocalyptic number.

10605885120 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 10605885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20943417600).

10605885120 is an abundant number, since it is smaller than the sum of its proper divisors (31280950080).

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

10605885120 is a wasteful number, since it uses less digits than its factorization.

10605885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 10605885120 in words is "ten billion, six hundred five million, eight hundred eighty-five thousand, one hundred twenty".