1071040705560 has 896 divisors, whose sum is σ = 4218307061760. Its totient is φ = 239587891200.

The previous prime is 1071040705541. The next prime is 1071040705583. The reversal of 1071040705560 is 655070401701.

1071040705560 is a `hidden beast` number, since 10 + 7 + 10 + 4 + 0 + 70 + 5 + 560 = 666.

It is a super-2 number, since 2×1071040705560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3811532620 + ... + 3811532900.

Almost surely, 2^{1071040705560} is an apocalyptic number.

1071040705560 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 1071040705560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109153530880).

1071040705560 is an abundant number, since it is smaller than the sum of its proper divisors (3147266356200).

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

1071040705560 is a wasteful number, since it uses less digits than its factorization.

1071040705560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 1071040705560 in words is "one trillion, seventy-one billion, forty million, seven hundred five thousand, five hundred sixty".