1026072664785 has 192 divisors, whose sum is σ = 2158371072000. Its totient is φ = 450370876032.

The previous prime is 1026072664781. The next prime is 1026072664867. The reversal of 1026072664785 is 5874662706201.

It is a happy number.

1026072664785 is a `hidden beast` number, since 1 + 0 + 2 + 607 + 26 + 6 + 4 + 7 + 8 + 5 = 666.

It is not a de Polignac number, because 1026072664785 - 2² = 1026072664781 is a prime.

It is a super-2 number, since 2×1026072664785² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1026072664781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39145494 + ... + 39171696.

It is an arithmetic number, because the mean of its divisors is an integer number (11241516000).

Almost surely, 2^{1026072664785} is an apocalyptic number.

1026072664785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1026072664785 is an abundant number, since it is smaller than the sum of its proper divisors (1132298407215).

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

1026072664785 is a wasteful number, since it uses less digits than its factorization.

1026072664785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26337 (or 26320 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1026072664785 in words is "one trillion, twenty-six billion, seventy-two million, six hundred sixty-four thousand, seven hundred eighty-five".