11970371911680 has 2736 divisors, whose sum is σ = 54824649647040. Its totient is φ = 2482809864192.

The previous prime is 11970371911661. The next prime is 11970371911691. The reversal of 11970371911680 is 8611917307911.

11970371911680 is a `hidden beast` number, since 1 + 19 + 70 + 371 + 9 + 116 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202887659491 + ... + 202887659549.

It is an arithmetic number, because the mean of its divisors is an integer number (20038249140).

Almost surely, 2^{11970371911680} is an apocalyptic number.

11970371911680 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 11970371911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27412324823520).

11970371911680 is an abundant number, since it is smaller than the sum of its proper divisors (42854277735360).

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

11970371911680 is an frugal number, since it uses more digits than its factorization.

11970371911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 54.

The spelling of 11970371911680 in words is "eleven trillion, nine hundred seventy billion, three hundred seventy-one million, nine hundred eleven thousand, six hundred eighty".