11879438400000 has 1920 divisors, whose sum is σ = 47528095507200. Its totient is φ = 2919628800000.

The previous prime is 11879438399993. The next prime is 11879438400001. The reversal of 11879438400000 is 483497811.

It is a happy number.

11879438400000 is a `hidden beast` number, since 1 + 187 + 94 + 384 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×11879438400000² (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 not an unprimeable number, because it can be changed into a prime (11879438400001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33652799824 + ... + 33652800176.

It is an arithmetic number, because the mean of its divisors is an integer number (24754216410).

Almost surely, 2^{11879438400000} is an apocalyptic number.

11879438400000 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 11879438400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23764047753600).

11879438400000 is an abundant number, since it is smaller than the sum of its proper divisors (35648657107200).

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

11879438400000 is an frugal number, since it uses more digits than its factorization.

11879438400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11879438400000 in words is "eleven trillion, eight hundred seventy-nine billion, four hundred thirty-eight million, four hundred thousand".