10604742082560 has 1536 divisors, whose sum is σ = 40987405105920. Its totient is φ = 2623461654528.

The previous prime is 10604742082541. The next prime is 10604742082591. The reversal of 10604742082560 is 6528024740601.

10604742082560 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 4 + 7 + 4 + 2 + 0 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×10604742082560² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33880964964 + ... + 33880965276.

Almost surely, 2^{10604742082560} is an apocalyptic number.

10604742082560 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 10604742082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20493702552960).

10604742082560 is an abundant number, since it is smaller than the sum of its proper divisors (30382663023360).

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

10604742082560 is an frugal number, since it uses more digits than its factorization.

10604742082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10604742082560 in words is "ten trillion, six hundred four billion, seven hundred forty-two million, eighty-two thousand, five hundred sixty".