11961766476 has 144 divisors (see below), whose sum is σ = 34359050880. Its totient is φ = 3569084640.

The previous prime is 11961766463. The next prime is 11961766499. The reversal of 11961766476 is 67466716911.

11961766476 is a `hidden beast` number, since 1 + 19 + 617 + 6 + 6 + 4 + 7 + 6 = 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 47 ways as a sum of consecutive naturals, for example, 5331811 + ... + 5334053.

It is an arithmetic number, because the mean of its divisors is an integer number (238604520).

Almost surely, 2^11961766476 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 11961766476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17179525440).

11961766476 is an abundant number, since it is smaller than the sum of its proper divisors (22397284404).

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

11961766476 is a wasteful number, since it uses less digits than its factorization.

11961766476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2326 counting only the distinct ones).

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

The spelling of 11961766476 in words is "eleven billion, nine hundred sixty-one million, seven hundred sixty-six thousand, four hundred seventy-six".