11742378209280 has 832 divisors, whose sum is σ = 42971689728000. Its totient is φ = 3040401162240.

The previous prime is 11742378209273. The next prime is 11742378209351. The reversal of 11742378209280 is 8290287324711.

11742378209280 is a `hidden beast` number, since 1 + 1 + 7 + 42 + 378 + 209 + 28 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3404572996 + ... + 3404576444.

Almost surely, 2^{11742378209280} is an apocalyptic number.

11742378209280 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 11742378209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21485844864000).

11742378209280 is an abundant number, since it is smaller than the sum of its proper divisors (31229311518720).

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

11742378209280 is a wasteful number, since it uses less digits than its factorization.

11742378209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 11742378209280 in words is "eleven trillion, seven hundred forty-two billion, three hundred seventy-eight million, two hundred nine thousand, two hundred eighty".