11880904936320 has 960 divisors, whose sum is σ = 52259502026160. Its totient is φ = 2555882864640.

The previous prime is 11880904936309. The next prime is 11880904936349. The reversal of 11880904936320 is 2363940908811.

11880904936320 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 0 + 90 + 493 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43045155 + ... + 43320285.

Almost surely, 2^{11880904936320} is an apocalyptic number.

11880904936320 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 11880904936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26129751013080).

11880904936320 is an abundant number, since it is smaller than the sum of its proper divisors (40378597089840).

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

11880904936320 is a wasteful number, since it uses less digits than its factorization.

11880904936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275193 (or 275165 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 11880904936320 in words is "eleven trillion, eight hundred eighty billion, nine hundred four million, nine hundred thirty-six thousand, three hundred twenty".