11461058560 has 224 divisors, whose sum is σ = 31933481472. Its totient is φ = 3867279360.

The previous prime is 11461058551. The next prime is 11461058563. The reversal of 11461058560 is 6585016411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11461058563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20356839 + ... + 20357401.

Almost surely, 2^11461058560 is an apocalyptic number.

11461058560 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 11461058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966740736).

11461058560 is an abundant number, since it is smaller than the sum of its proper divisors (20472422912).

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

11461058560 is an frugal number, since it uses more digits than its factorization.

11461058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 11461058560 in words is "eleven billion, four hundred sixty-one million, fifty-eight thousand, five hundred sixty".