11139377436000 has 1152 divisors, whose sum is σ = 44614060388352. Its totient is φ = 2607759360000.

The previous prime is 11139377435941. The next prime is 11139377436037. The reversal of 11139377436000 is 63477393111.

11139377436000 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 9 + 37 + 7 + 4 + 3 + 600 + 0 = 666.

It is a super-3 number, since 3×11139377436000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9661211424 + ... + 9661212576.

It is an arithmetic number, because the mean of its divisors is an integer number (38727482976).

Almost surely, 2^{11139377436000} is an apocalyptic number.

11139377436000 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 11139377436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22307030194176).

11139377436000 is an abundant number, since it is smaller than the sum of its proper divisors (33474682952352).

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

11139377436000 is a wasteful number, since it uses less digits than its factorization.

11139377436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 11139377436000 in words is "eleven trillion, one hundred thirty-nine billion, three hundred seventy-seven million, four hundred thirty-six thousand".