11872188776448 has 1920 divisors, whose sum is σ = 47956543918080. Its totient is φ = 2837879193600.

The previous prime is 11872188776389. The next prime is 11872188776477. The reversal of 11872188776448 is 84467788127811.

It is a happy number.

11872188776448 is a `hidden beast` number, since 1 + 1 + 87 + 21 + 8 + 87 + 7 + 6 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35867639643 + ... + 35867639973.

It is an arithmetic number, because the mean of its divisors is an integer number (24977366624).

Almost surely, 2^{11872188776448} is an apocalyptic number.

11872188776448 is a gapful number since it is divisible by the number (18) 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 11872188776448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23978271959040).

11872188776448 is an abundant number, since it is smaller than the sum of its proper divisors (36084355141632).

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

11872188776448 is an frugal number, since it uses more digits than its factorization.

11872188776448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 367 counting only the distinct ones).

The product of its digits is 269746176, while the sum is 72.

The spelling of 11872188776448 in words is "eleven trillion, eight hundred seventy-two billion, one hundred eighty-eight million, seven hundred seventy-six thousand, four hundred forty-eight".