1026260352000 has 2112 divisors, whose sum is σ = 4393752854400. Its totient is φ = 227907993600.

The previous prime is 1026260351929. The next prime is 1026260352037. The reversal of 1026260352000 is 2530626201.

1026260352000 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 2 + 603 + 52 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7383167931 + ... + 7383168069.

Almost surely, 2^{1026260352000} is an apocalyptic number.

1026260352000 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 1026260352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196876427200).

1026260352000 is an abundant number, since it is smaller than the sum of its proper divisors (3367492502400).

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

1026260352000 is a wasteful number, since it uses less digits than its factorization.

1026260352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1026260352000 its reverse (2530626201), we get a palindrome (1028790978201).

The spelling of 1026260352000 in words is "one trillion, twenty-six billion, two hundred sixty million, three hundred fifty-two thousand".