1026061261056 has 1440 divisors, whose sum is σ = 3685689520128. Its totient is φ = 280921374720.

The previous prime is 1026061261037. The next prime is 1026061261103. The reversal of 1026061261056 is 6501621606201.

1026061261056 is a `hidden beast` number, since 1 + 0 + 26 + 0 + 6 + 12 + 610 + 5 + 6 = 666.

It is a super-2 number, since 2×1026061261056² (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 self number, because there is not a number n which added to its sum of digits gives 1026061261056.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8079222465 + ... + 8079222591.

Almost surely, 2^{1026061261056} is an apocalyptic number.

1026061261056 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 1026061261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842844760064).

1026061261056 is an abundant number, since it is smaller than the sum of its proper divisors (2659628259072).

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

1026061261056 is a wasteful number, since it uses less digits than its factorization.

1026061261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 1026061261056 its reverse (6501621606201), we get a palindrome (7527682867257).

The spelling of 1026061261056 in words is "one trillion, twenty-six billion, sixty-one million, two hundred sixty-one thousand, fifty-six".