1073094946560 has 1440 divisors, whose sum is σ = 4760848498560. Its totient is φ = 226074820608.

The previous prime is 1073094946559. The next prime is 1073094946571. The reversal of 1073094946560 is 656494903701.

1073094946560 is a `hidden beast` number, since 1 + 0 + 7 + 30 + 9 + 4 + 9 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 1073094946497 and 1073094946506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1594494384 + ... + 1594495056.

Almost surely, 2^{1073094946560} is an apocalyptic number.

1073094946560 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 1073094946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380424249280).

1073094946560 is an abundant number, since it is smaller than the sum of its proper divisors (3687753552000).

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

1073094946560 is an frugal number, since it uses more digits than its factorization.

1073094946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1073094946560 in words is "one trillion, seventy-three billion, ninety-four million, nine hundred forty-six thousand, five hundred sixty".