11725054880 has 288 divisors, whose sum is σ = 35038967040. Its totient is φ = 3629260800.

The previous prime is 11725054871. The next prime is 11725054919. The reversal of 11725054880 is 8845052711.

11725054880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 32660141 + ... + 32660499.

It is an arithmetic number, because the mean of its divisors is an integer number (121663080).

Almost surely, 2^11725054880 is an apocalyptic number.

11725054880 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 11725054880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519483520).

11725054880 is an abundant number, since it is smaller than the sum of its proper divisors (23313912160).

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

11725054880 is a wasteful number, since it uses less digits than its factorization.

11725054880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 41.

The spelling of 11725054880 in words is "eleven billion, seven hundred twenty-five million, fifty-four thousand, eight hundred eighty".