10985015842560 has 432 divisors, whose sum is σ = 39259591757568. Its totient is φ = 2832924672000.

The previous prime is 10985015842519. The next prime is 10985015842561. The reversal of 10985015842560 is 6524851058901.

10985015842560 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 5 + 0 + 1 + 584 + 2 + 56 + 0 = 666.

It is a super-2 number, since 2×10985015842560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10985015842497 and 10985015842506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10985015842561) 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, 571739514 + ... + 571758726.

It is an arithmetic number, because the mean of its divisors is an integer number (90878684624).

Almost surely, 2^{10985015842560} is an apocalyptic number.

10985015842560 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 10985015842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629795878784).

10985015842560 is an abundant number, since it is smaller than the sum of its proper divisors (28274575915008).

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

10985015842560 is a wasteful number, since it uses less digits than its factorization.

10985015842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20872 (or 20855 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 10985015842560 in words is "ten trillion, nine hundred eighty-five billion, fifteen million, eight hundred forty-two thousand, five hundred sixty".