10838193811200 has 2592 divisors, whose sum is σ = 48209034424320. Its totient is φ = 2373061017600.

The previous prime is 10838193811187. The next prime is 10838193811261. The reversal of 10838193811200 is 211839183801.

10838193811200 is a `hidden beast` number, since 108 + 38 + 19 + 381 + 120 + 0 = 666.

10838193811200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41209862269 + ... + 41209862531.

Almost surely, 2^{10838193811200} is an apocalyptic number.

10838193811200 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 10838193811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24104517212160).

10838193811200 is an abundant number, since it is smaller than the sum of its proper divisors (37370840613120).

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

10838193811200 is a wasteful number, since it uses less digits than its factorization.

10838193811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 10838193811200 in words is "ten trillion, eight hundred thirty-eight billion, one hundred ninety-three million, eight hundred eleven thousand, two hundred".