11663971038720 has 1920 divisors, whose sum is σ = 56623880839680. Its totient is φ = 2237152296960.

The previous prime is 11663971038641. The next prime is 11663971038761. The reversal of 11663971038720 is 2783017936611.

11663971038720 is a `hidden beast` number, since 1 + 166 + 3 + 97 + 10 + 387 + 2 + 0 = 666.

11663971038720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 484311799 + ... + 484335881.

It is an arithmetic number, because the mean of its divisors is an integer number (29491604604).

Almost surely, 2^{11663971038720} is an apocalyptic number.

11663971038720 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 11663971038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28311940419840).

11663971038720 is an abundant number, since it is smaller than the sum of its proper divisors (44959909800960).

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

11663971038720 is a wasteful number, since it uses less digits than its factorization.

11663971038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24153 (or 24124 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 11663971038720 in words is "eleven trillion, six hundred sixty-three billion, nine hundred seventy-one million, thirty-eight thousand, seven hundred twenty".