11881953504000 has 1728 divisors, whose sum is σ = 45952039486080. Its totient is φ = 3060633600000.

The previous prime is 11881953503957. The next prime is 11881953504049. The reversal of 11881953504000 is 40535918811.

11881953504000 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 195 + 3 + 50 + 400 + 0 = 666.

11881953504000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 117643103950 + ... + 117643104050.

Almost surely, 2^{11881953504000} is an apocalyptic number.

11881953504000 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 11881953504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22976019743040).

11881953504000 is an abundant number, since it is smaller than the sum of its proper divisors (34070085982080).

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

11881953504000 is an frugal number, since it uses more digits than its factorization.

11881953504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 11881953504000 in words is "eleven trillion, eight hundred eighty-one billion, nine hundred fifty-three million, five hundred four thousand".