1138764211200 has 792 divisors, whose sum is σ = 5083484427840. Its totient is φ = 236622643200.

The previous prime is 1138764211187. The next prime is 1138764211259. The reversal of 1138764211200 is 21124678311.

1138764211200 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 7 + 642 + 1 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17708706 + ... + 17772894.

Almost surely, 2^{1138764211200} is an apocalyptic number.

1138764211200 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 1138764211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541742213920).

1138764211200 is an abundant number, since it is smaller than the sum of its proper divisors (3944720216640).

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

1138764211200 is a wasteful number, since it uses less digits than its factorization.

1138764211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64243 (or 64217 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 1138764211200 its reverse (21124678311), we get a palindrome (1159888889511).

The spelling of 1138764211200 in words is "one trillion, one hundred thirty-eight billion, seven hundred sixty-four million, two hundred eleven thousand, two hundred".