11948331669120 has 1920 divisors, whose sum is σ = 56758121038080. Its totient is φ = 2336578928640.

The previous prime is 11948331669067. The next prime is 11948331669121. The reversal of 11948331669120 is 2196613384911.

11948331669120 is a `hidden beast` number, since 1 + 1 + 9 + 483 + 31 + 6 + 6 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (11948331669121) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 746436157 + ... + 746452163.

It is an arithmetic number, because the mean of its divisors is an integer number (29561521374).

Almost surely, 2^{11948331669120} is an apocalyptic number.

11948331669120 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 11948331669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28379060519040).

11948331669120 is an abundant number, since it is smaller than the sum of its proper divisors (44809789368960).

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

11948331669120 is a wasteful number, since it uses less digits than its factorization.

11948331669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16084 (or 16052 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 11948331669120 in words is "eleven trillion, nine hundred forty-eight billion, three hundred thirty-one million, six hundred sixty-nine thousand, one hundred twenty".