11461035520 has 320 divisors, whose sum is σ = 32217134400. Its totient is φ = 3864002560.

The previous prime is 11461035517. The next prime is 11461035583. The reversal of 11461035520 is 2553016411.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 42605946 + ... + 42606214.

It is an arithmetic number, because the mean of its divisors is an integer number (100678545).

Almost surely, 2^11461035520 is an apocalyptic number.

11461035520 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 11461035520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16108567200).

11461035520 is an abundant number, since it is smaller than the sum of its proper divisors (20756098880).

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

11461035520 is a wasteful number, since it uses less digits than its factorization.

11461035520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 11461035520 in words is "eleven billion, four hundred sixty-one million, thirty-five thousand, five hundred twenty".