11976654343680 has 1920 divisors, whose sum is σ = 49012901473536. Its totient is φ = 2675441664000.

The previous prime is 11976654343637. The next prime is 11976654343733. The reversal of 11976654343680 is 8634345667911.

It is a happy number.

11976654343680 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 6 + 6 + 543 + 4 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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, 28448109870 + ... + 28448110290.

Almost surely, 2^{11976654343680} is an apocalyptic number.

11976654343680 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 11976654343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24506450736768).

11976654343680 is an abundant number, since it is smaller than the sum of its proper divisors (37036247129856).

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

11976654343680 is a wasteful number, since it uses less digits than its factorization.

11976654343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 11976654343680 in words is "eleven trillion, nine hundred seventy-six billion, six hundred fifty-four million, three hundred forty-three thousand, six hundred eighty".