1061110556000 has 768 divisors, whose sum is σ = 3194461670400. Its totient is φ = 341397504000.

The previous prime is 1061110555987. The next prime is 1061110556003. The reversal of 1061110556000 is 6550111601.

1061110556000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1061110556000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061110556003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2799763811 + ... + 2799764189.

It is an arithmetic number, because the mean of its divisors is an integer number (4159455300).

Almost surely, 2^{1061110556000} is an apocalyptic number.

1061110556000 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 1061110556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597230835200).

1061110556000 is an abundant number, since it is smaller than the sum of its proper divisors (2133351114400).

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

1061110556000 is a wasteful number, since it uses less digits than its factorization.

1061110556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 1061110556000 its reverse (6550111601), we get a palindrome (1067660667601).

The spelling of 1061110556000 in words is "one trillion, sixty-one billion, one hundred ten million, five hundred fifty-six thousand".