11721760958880 has 576 divisors, whose sum is σ = 47389354871040. Its totient is φ = 2582475374592.

The previous prime is 11721760958861. The next prime is 11721760958893. The reversal of 11721760958880 is 8885906712711.

11721760958880 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 17 + 609 + 5 + 8 + 8 + 8 + 0 = 666.

11721760958880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39759856 + ... + 40053584.

It is an arithmetic number, because the mean of its divisors is an integer number (82273185540).

Almost surely, 2^{11721760958880} is an apocalyptic number.

11721760958880 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 11721760958880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23694677435520).

11721760958880 is an abundant number, since it is smaller than the sum of its proper divisors (35667593912160).

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

11721760958880 is a wasteful number, since it uses less digits than its factorization.

11721760958880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293901 (or 293890 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 63.

The spelling of 11721760958880 in words is "eleven trillion, seven hundred twenty-one billion, seven hundred sixty million, nine hundred fifty-eight thousand, eight hundred eighty".