11787773018112 has 1728 divisors, whose sum is σ = 44885592460800. Its totient is φ = 3071407030272.

The previous prime is 11787773018083. The next prime is 11787773018137. The reversal of 11787773018112 is 21181037778711.

11787773018112 is a `hidden beast` number, since 117 + 87 + 77 + 301 + 81 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142021361623 + ... + 142021361705.

It is an arithmetic number, because the mean of its divisors is an integer number (25975458600).

Almost surely, 2^{11787773018112} is an apocalyptic number.

11787773018112 is a gapful number since it is divisible by the number (12) 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 11787773018112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22442796230400).

11787773018112 is an abundant number, since it is smaller than the sum of its proper divisors (33097819442688).

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

11787773018112 is an frugal number, since it uses more digits than its factorization.

11787773018112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 54.

The spelling of 11787773018112 in words is "eleven trillion, seven hundred eighty-seven billion, seven hundred seventy-three million, eighteen thousand, one hundred twelve".