1138203360000 has 2160 divisors, whose sum is σ = 5168388086400. Its totient is φ = 245597184000.

The previous prime is 1138203359939. The next prime is 1138203360037. The reversal of 1138203360000 is 633028311.

It is a happy number.

1138203360000 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 20 + 33 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4021919859 + ... + 4021920141.

Almost surely, 2^{1138203360000} is an apocalyptic number.

1138203360000 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 1138203360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584194043200).

1138203360000 is an abundant number, since it is smaller than the sum of its proper divisors (4030184726400).

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

1138203360000 is an equidigital number, since it uses as much as digits as its factorization.

1138203360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1138203360000 its reverse (633028311), we get a palindrome (1138836388311).

The spelling of 1138203360000 in words is "one trillion, one hundred thirty-eight billion, two hundred three million, three hundred sixty thousand".