1289626610052 has 96 divisors (see below), whose sum is σ = 3310320182400. Its totient is φ = 387515054080.

The previous prime is 1289626610047. The next prime is 1289626610081. The reversal of 1289626610052 is 2500166269821.

It is a junction number, because it is equal to n+sod(n) for n = 1289626609983 and 1289626610010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11607838 + ... + 11718410.

It is an arithmetic number, because the mean of its divisors is an integer number (34482501900).

Almost surely, 2^{1289626610052} is an apocalyptic number.

1289626610052 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 1289626610052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655160091200).

1289626610052 is an abundant number, since it is smaller than the sum of its proper divisors (2020693572348).

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

1289626610052 is a wasteful number, since it uses less digits than its factorization.

1289626610052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111333 (or 111331 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 1289626610052 in words is "one trillion, two hundred eighty-nine billion, six hundred twenty-six million, six hundred ten thousand, fifty-two".