11133739008000 has 3264 divisors, whose sum is σ = 51444188909568. Its totient is φ = 2344196505600.

The previous prime is 11133739007999. The next prime is 11133739008019. The reversal of 11133739008000 is 80093733111.

It is a tau number, because it is divible by the number of its divisors (3264).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 236888063977 + ... + 236888064023.

Almost surely, 2^{11133739008000} is an apocalyptic number.

11133739008000 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 11133739008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25722094454784).

11133739008000 is an abundant number, since it is smaller than the sum of its proper divisors (40310449901568).

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

11133739008000 is an frugal number, since it uses more digits than its factorization.

11133739008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 11133739008000 in words is "eleven trillion, one hundred thirty-three billion, seven hundred thirty-nine million, eight thousand".