1026634735872 has 216 divisors, whose sum is σ = 3203140659264. Its totient is φ = 327332358144.

The previous prime is 1026634735853. The next prime is 1026634735921. The reversal of 1026634735872 is 2785374366201.

It is a happy number.

1026634735872 is a `hidden beast` number, since 1 + 0 + 26 + 6 + 34 + 7 + 3 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×1026634735872³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1072018 + ... + 1789550.

It is an arithmetic number, because the mean of its divisors is an integer number (14829354904).

Almost surely, 2^{1026634735872} is an apocalyptic number.

1026634735872 is a gapful number since it is divisible by the number (12) 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 1026634735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601570329632).

1026634735872 is an abundant number, since it is smaller than the sum of its proper divisors (2176505923392).

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

1026634735872 is an frugal number, since it uses more digits than its factorization.

1026634735872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717587 (or 717561 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 1026634735872 in words is "one trillion, twenty-six billion, six hundred thirty-four million, seven hundred thirty-five thousand, eight hundred seventy-two".