11977646792076 has 144 divisors (see below), whose sum is σ = 35462758443840. Its totient is φ = 3337142538240.

The previous prime is 11977646792063. The next prime is 11977646792129. The reversal of 11977646792076 is 67029764677911.

11977646792076 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 7 + 6 + 467 + 92 + 0 + 76 = 666.

11977646792076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11977646791995 and 11977646792013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21724570 + ... + 22269086.

It is an arithmetic number, because the mean of its divisors is an integer number (246269155860).

Almost surely, 2^{11977646792076} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11977646792076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17731379221920).

11977646792076 is an abundant number, since it is smaller than the sum of its proper divisors (23485111651764).

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

11977646792076 is a wasteful number, since it uses less digits than its factorization.

11977646792076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546704 (or 546699 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 72.

The spelling of 11977646792076 in words is "eleven trillion, nine hundred seventy-seven billion, six hundred forty-six million, seven hundred ninety-two thousand, seventy-six".