1073889755136 has 720 divisors, whose sum is σ = 3522132694080. Its totient is φ = 312465162240.

The previous prime is 1073889755131. The next prime is 1073889755143. The reversal of 1073889755136 is 6315579883701.

1073889755136 is a `hidden beast` number, since 1 + 0 + 7 + 38 + 89 + 7 + 5 + 513 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073889755131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6207455146 + ... + 6207455318.

It is an arithmetic number, because the mean of its divisors is an integer number (4891850964).

Almost surely, 2^{1073889755136} is an apocalyptic number.

1073889755136 is a gapful number since it is divisible by the number (16) 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 1073889755136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761066347040).

1073889755136 is an abundant number, since it is smaller than the sum of its proper divisors (2448242938944).

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

1073889755136 is a wasteful number, since it uses less digits than its factorization.

1073889755136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 1073889755136 in words is "one trillion, seventy-three billion, eight hundred eighty-nine million, seven hundred fifty-five thousand, one hundred thirty-six".