1005115405656 has 128 divisors (see below), whose sum is σ = 2669690880000. Its totient is φ = 314460040320.

The previous prime is 1005115405513. The next prime is 1005115405681. The reversal of 1005115405656 is 6565045115001.

1005115405656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22097385 + ... + 22142823.

It is an arithmetic number, because the mean of its divisors is an integer number (20856960000).

Almost surely, 2^{1005115405656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005115405656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334845440000).

1005115405656 is an abundant number, since it is smaller than the sum of its proper divisors (1664575474344).

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

1005115405656 is a wasteful number, since it uses less digits than its factorization.

1005115405656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45917 (or 45913 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 39.

The spelling of 1005115405656 in words is "one trillion, five billion, one hundred fifteen million, four hundred five thousand, six hundred fifty-six".