11961774604080 has 800 divisors, whose sum is σ = 51342752710656. Its totient is φ = 2518530859008.

The previous prime is 11961774604051. The next prime is 11961774604081. The reversal of 11961774604080 is 8040647716911.

11961774604080 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 177 + 4 + 60 + 408 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11961774604081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36077617 + ... + 36407663.

Almost surely, 2^{11961774604080} is an apocalyptic number.

11961774604080 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 11961774604080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25671376355328).

11961774604080 is an abundant number, since it is smaller than the sum of its proper divisors (39380978106576).

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

11961774604080 is a wasteful number, since it uses less digits than its factorization.

11961774604080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330143 (or 330128 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 11961774604080 in words is "eleven trillion, nine hundred sixty-one billion, seven hundred seventy-four million, six hundred four thousand, eighty".