11939180820480 has 1728 divisors, whose sum is σ = 46424327040000. Its totient is φ = 2937204965376.

The previous prime is 11939180820467. The next prime is 11939180820481. The reversal of 11939180820480 is 8402808193911.

It is a happy number.

11939180820480 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 9 + 1 + 80 + 82 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11939180820481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59995883421 + ... + 59995883619.

It is an arithmetic number, because the mean of its divisors is an integer number (26865930000).

Almost surely, 2^{11939180820480} is an apocalyptic number.

11939180820480 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 11939180820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212163520000).

11939180820480 is an abundant number, since it is smaller than the sum of its proper divisors (34485146219520).

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

11939180820480 is an frugal number, since it uses more digits than its factorization.

11939180820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 11939180820480 in words is "eleven trillion, nine hundred thirty-nine billion, one hundred eighty million, eight hundred twenty thousand, four hundred eighty".