11331048960 has 640 divisors, whose sum is σ = 50203929600. Its totient is φ = 2353397760.

The previous prime is 11331048941. The next prime is 11331048991. The reversal of 11331048960 is 6984013311.

11331048960 is a `hidden beast` number, since 113 + 3 + 1 + 0 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 5321176 + ... + 5323304.

It is an arithmetic number, because the mean of its divisors is an integer number (78443640).

Almost surely, 2^11331048960 is an apocalyptic number.

11331048960 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 11331048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25101964800).

11331048960 is an abundant number, since it is smaller than the sum of its proper divisors (38872880640).

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

11331048960 is a wasteful number, since it uses less digits than its factorization.

11331048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11331048960 in words is "eleven billion, three hundred thirty-one million, forty-eight thousand, nine hundred sixty".