11552417920 has 128 divisors (see below), whose sum is σ = 28886595840. Its totient is φ = 4409585664.

The previous prime is 11552417869. The next prime is 11552417951. The reversal of 11552417920 is 2971425511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 11552417920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9523234 + ... + 9524446.

It is an arithmetic number, because the mean of its divisors is an integer number (225676530).

Almost surely, 2^11552417920 is an apocalyptic number.

11552417920 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 11552417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443297920).

11552417920 is an abundant number, since it is smaller than the sum of its proper divisors (17334177920).

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

11552417920 is a wasteful number, since it uses less digits than its factorization.

11552417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 11552417920 in words is "eleven billion, five hundred fifty-two million, four hundred seventeen thousand, nine hundred twenty".