1089259652768 has 72 divisors (see below), whose sum is σ = 2495420373600. Its totient is φ = 466671881088.

The previous prime is 1089259652753. The next prime is 1089259652773. The reversal of 1089259652768 is 8672569529801.

It is a super-2 number, since 2×1089259652768² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1089259652698 and 1089259652707.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4715063 + ... + 4940681.

It is an arithmetic number, because the mean of its divisors is an integer number (34658616300).

Almost surely, 2^{1089259652768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089259652768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247710186800).

1089259652768 is an abundant number, since it is smaller than the sum of its proper divisors (1406160720832).

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

1089259652768 is a wasteful number, since it uses less digits than its factorization.

1089259652768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228722 (or 228707 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 68.

The spelling of 1089259652768 in words is "one trillion, eighty-nine billion, two hundred fifty-nine million, six hundred fifty-two thousand, seven hundred sixty-eight".