1072888335617 has 16 divisors (see below), whose sum is σ = 1227690393600. Its totient is φ = 918469685520.

The previous prime is 1072888335593. The next prime is 1072888335671. The reversal of 1072888335617 is 7165338882701.

It is a cyclic number.

It is not a de Polignac number, because 1072888335617 - 2⁸ = 1072888335361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1072888335017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62256392 + ... + 62273622.

It is an arithmetic number, because the mean of its divisors is an integer number (76730649600).

Almost surely, 2^{1072888335617} is an apocalyptic number.

It is an amenable number.

1072888335617 is a deficient number, since it is larger than the sum of its proper divisors (154802057983).

1072888335617 is an equidigital number, since it uses as much as digits as its factorization.

1072888335617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27836.

The product of its (nonzero) digits is 13547520, while the sum is 59.

The spelling of 1072888335617 in words is "one trillion, seventy-two billion, eight hundred eighty-eight million, three hundred thirty-five thousand, six hundred seventeen".