11878744128000 has 640 divisors, whose sum is σ = 41620570827264. Its totient is φ = 2999828480000.

The previous prime is 11878744127969. The next prime is 11878744128001. The reversal of 11878744128000 is 82144787811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×11878744128000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11878744128001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 446002684 + ... + 446029316.

Almost surely, 2^{11878744128000} is an apocalyptic number.

11878744128000 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 11878744128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20810285413632).

11878744128000 is an abundant number, since it is smaller than the sum of its proper divisors (29741826699264).

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

11878744128000 is a wasteful number, since it uses less digits than its factorization.

11878744128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26793 (or 26767 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 51.

The spelling of 11878744128000 in words is "eleven trillion, eight hundred seventy-eight billion, seven hundred forty-four million, one hundred twenty-eight thousand".