1138173120000 has 2800 divisors, whose sum is σ = 5281516148832. Its totient is φ = 238878720000.

The previous prime is 1138173119977. The next prime is 1138173120011. The reversal of 1138173120000 is 213718311.

It is a happy number.

1138173120000 is a `hidden beast` number, since 11 + 381 + 73 + 1 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 27760319980 + ... + 27760320020.

Almost surely, 2^{1138173120000} is an apocalyptic number.

1138173120000 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 1138173120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640758074416).

1138173120000 is an abundant number, since it is smaller than the sum of its proper divisors (4143343028832).

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

1138173120000 is an frugal number, since it uses more digits than its factorization.

1138173120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 1138173120000 its reverse (213718311), we get a palindrome (1138386838311).

The spelling of 1138173120000 in words is "one trillion, one hundred thirty-eight billion, one hundred seventy-three million, one hundred twenty thousand".