11980682348544 has 960 divisors, whose sum is σ = 45563976057600. Its totient is φ = 3050672357376.

The previous prime is 11980682348543. The next prime is 11980682348561. The reversal of 11980682348544 is 44584328608911.

It is a happy number.

11980682348544 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 0 + 6 + 82 + 3 + 4 + 8 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11980682348543) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 437764749 + ... + 437792115.

It is an arithmetic number, because the mean of its divisors is an integer number (47462475060).

Almost surely, 2^{11980682348544} is an apocalyptic number.

11980682348544 is a gapful number since it is divisible by the number (14) 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 11980682348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22781988028800).

11980682348544 is an abundant number, since it is smaller than the sum of its proper divisors (33583293709056).

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

11980682348544 is a wasteful number, since it uses less digits than its factorization.

11980682348544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27450 (or 27421 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 11980682348544 in words is "eleven trillion, nine hundred eighty billion, six hundred eighty-two million, three hundred forty-eight thousand, five hundred forty-four".