1026505861056 has 168 divisors, whose sum is σ = 3169173483840. Its totient is φ = 315793188864.

The previous prime is 1026505861049. The next prime is 1026505861057. The reversal of 1026505861056 is 6501685056201.

1026505861056 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 5 + 0 + 586 + 10 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026505861057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73667466 + ... + 73681398.

It is an arithmetic number, because the mean of its divisors is an integer number (18864127880).

Almost surely, 2^{1026505861056} is an apocalyptic number.

1026505861056 is a gapful number since it is divisible by the number (16) 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 1026505861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584586741920).

1026505861056 is an abundant number, since it is smaller than the sum of its proper divisors (2142667622784).

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

1026505861056 is a wasteful number, since it uses less digits than its factorization.

1026505861056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23803 (or 23790 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1026505861056 in words is "one trillion, twenty-six billion, five hundred five million, eight hundred sixty-one thousand, fifty-six".