11461056120 has 384 divisors, whose sum is σ = 40989312000. Its totient is φ = 2872143360.

The previous prime is 11461056109. The next prime is 11461056121. The reversal of 11461056120 is 2165016411.

11461056120 is a `hidden beast` number, since 1 + 1 + 46 + 1 + 0 + 5 + 612 + 0 = 666.

11461056120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (11461056121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42291585 + ... + 42291855.

It is an arithmetic number, because the mean of its divisors is an integer number (106743000).

Almost surely, 2^11461056120 is an apocalyptic number.

11461056120 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 11461056120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20494656000).

11461056120 is an abundant number, since it is smaller than the sum of its proper divisors (29528255880).

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

11461056120 is a wasteful number, since it uses less digits than its factorization.

11461056120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11461056120 in words is "eleven billion, four hundred sixty-one million, fifty-six thousand, one hundred twenty".