11009912320 has 320 divisors, whose sum is σ = 30546616320. Its totient is φ = 3766681600.

The previous prime is 11009912281. The next prime is 11009912357. The reversal of 11009912320 is 2321990011.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57643425 + ... + 57643615.

It is an arithmetic number, because the mean of its divisors is an integer number (95458176).

Almost surely, 2^11009912320 is an apocalyptic number.

11009912320 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 11009912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273308160).

11009912320 is an abundant number, since it is smaller than the sum of its proper divisors (19536704000).

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

11009912320 is a wasteful number, since it uses less digits than its factorization.

11009912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

It can be divided in two parts, 11009 and 912320, that added together give a palindrome (923329).

The spelling of 11009912320 in words is "eleven billion, nine million, nine hundred twelve thousand, three hundred twenty".