10611285120 has 576 divisors, whose sum is σ = 39817552320. Its totient is φ = 2699827200.

The previous prime is 10611285119. The next prime is 10611285127. The reversal of 10611285120 is 2158211601.

10611285120 is a `hidden beast` number, since 1 + 0 + 611 + 28 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10611285120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10611285127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149454685 + ... + 149454755.

It is an arithmetic number, because the mean of its divisors is an integer number (69127695).

Almost surely, 2^10611285120 is an apocalyptic number.

10611285120 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 10611285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19908776160).

10611285120 is an abundant number, since it is smaller than the sum of its proper divisors (29206267200).

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

10611285120 is an frugal number, since it uses more digits than its factorization.

10611285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 10611285120 its reverse (2158211601), we get a palindrome (12769496721).

The spelling of 10611285120 in words is "ten billion, six hundred eleven million, two hundred eighty-five thousand, one hundred twenty".