11938583910000 has 800 divisors, whose sum is σ = 44573503113216. Its totient is φ = 2725056000000.

The previous prime is 11938583909957. The next prime is 11938583910013. The reversal of 11938583910000 is 1938583911.

It is a super-2 number, since 2×11938583910000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 378494230 + ... + 378525770.

Almost surely, 2^{11938583910000} is an apocalyptic number.

11938583910000 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 11938583910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22286751556608).

11938583910000 is an abundant number, since it is smaller than the sum of its proper divisors (32634919203216).

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

11938583910000 is a wasteful number, since it uses less digits than its factorization.

11938583910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31651 (or 31630 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 11938583910000 in words is "eleven trillion, nine hundred thirty-eight billion, five hundred eighty-three million, nine hundred ten thousand".