1138530556800 has 2880 divisors, whose sum is σ = 5377241548800. Its totient is φ = 232130396160.

The previous prime is 1138530556783. The next prime is 1138530556859. The reversal of 1138530556800 is 86550358311.

1138530556800 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 530 + 55 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 14411779161 + ... + 14411779239.

It is an arithmetic number, because the mean of its divisors is an integer number (1867097760).

Almost surely, 2^{1138530556800} is an apocalyptic number.

1138530556800 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 1138530556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688620774400).

1138530556800 is an abundant number, since it is smaller than the sum of its proper divisors (4238710992000).

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

1138530556800 is a wasteful number, since it uses less digits than its factorization.

1138530556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1138530556800 in words is "one trillion, one hundred thirty-eight billion, five hundred thirty million, five hundred fifty-six thousand, eight hundred".