11998936518912 has 972 divisors, whose sum is σ = 43147166340096. Its totient is φ = 3316972861440.

The previous prime is 11998936518887. The next prime is 11998936518917. The reversal of 11998936518912 is 21981563989911.

11998936518912 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 8 + 93 + 6 + 518 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (11998936518917) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2551334353 + ... + 2551339055.

Almost surely, 2^{11998936518912} is an apocalyptic number.

11998936518912 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 11998936518912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21573583170048).

11998936518912 is an abundant number, since it is smaller than the sum of its proper divisors (31148229821184).

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

11998936518912 is an frugal number, since it uses more digits than its factorization.

11998936518912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4746 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 72.

The spelling of 11998936518912 in words is "eleven trillion, nine hundred ninety-eight billion, nine hundred thirty-six million, five hundred eighteen thousand, nine hundred twelve".