11862039168000 has 3168 divisors, whose sum is σ = 53057006690688. Its totient is φ = 2633637888000.

The previous prime is 11862039167981. The next prime is 11862039168013. The reversal of 11862039168000 is 86193026811.

11862039168000 is a `hidden beast` number, since 1 + 1 + 8 + 620 + 3 + 9 + 16 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×11862039168000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 65536127910 + ... + 65536128090.

It is an arithmetic number, because the mean of its divisors is an integer number (16747792516).

Almost surely, 2^{11862039168000} is an apocalyptic number.

11862039168000 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 11862039168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26528503345344).

11862039168000 is an abundant number, since it is smaller than the sum of its proper divisors (41194967522688).

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

11862039168000 is an equidigital number, since it uses as much as digits as its factorization.

11862039168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11862039168000 in words is "eleven trillion, eight hundred sixty-two billion, thirty-nine million, one hundred sixty-eight thousand".