1056055006110 has 96 divisors (see below), whose sum is σ = 2748783286368. Its totient is φ = 259545661440.

The previous prime is 1056055006043. The next prime is 1056055006129. The reversal of 1056055006110 is 116005506501.

It is a super-3 number, since 3×1056055006110³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3087394 + ... + 3412346.

It is an arithmetic number, because the mean of its divisors is an integer number (28633159233).

Almost surely, 2^{1056055006110} is an apocalyptic number.

1056055006110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056055006110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374391643184).

1056055006110 is an abundant number, since it is smaller than the sum of its proper divisors (1692728280258).

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

1056055006110 is a wasteful number, since it uses less digits than its factorization.

1056055006110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325630 (or 325617 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 1056055006110 in words is "one trillion, fifty-six billion, fifty-five million, six thousand, one hundred ten".