11955789104000 has 640 divisors, whose sum is σ = 36719038156320. Its totient is φ = 3857791795200.

The previous prime is 11955789103943. The next prime is 11955789104003. The reversal of 11955789104000 is 40198755911.

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

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 11955789104000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11955789104003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 653062847 + ... + 653081153.

Almost surely, 2^{11955789104000} is an apocalyptic number.

11955789104000 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 11955789104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18359519078160).

11955789104000 is an abundant number, since it is smaller than the sum of its proper divisors (24763249052320).

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

11955789104000 is an frugal number, since it uses more digits than its factorization.

11955789104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18381 (or 18338 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 50.

The spelling of 11955789104000 in words is "eleven trillion, nine hundred fifty-five billion, seven hundred eighty-nine million, one hundred four thousand".