1073538489600 has 1080 divisors, whose sum is σ = 4147242106392. Its totient is φ = 273737318400.

The previous prime is 1073538489599. The next prime is 1073538489643. The reversal of 1073538489600 is 69848353701.

1073538489600 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 538 + 48 + 9 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 492601844736 + 580936644864 = 701856^2 + 762192^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1126482724 + ... + 1126483676.

Almost surely, 2^{1073538489600} is an apocalyptic number.

1073538489600 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 1073538489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073621053196).

1073538489600 is an abundant number, since it is smaller than the sum of its proper divisors (3073703616792).

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

1073538489600 is an equidigital number, since it uses as much as digits as its factorization.

1073538489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1073538489600 in words is "one trillion, seventy-three billion, five hundred thirty-eight million, four hundred eighty-nine thousand, six hundred".