1289631771264 has 128 divisors (see below), whose sum is σ = 3482018210880. Its totient is φ = 422814965760.

The previous prime is 1289631771229. The next prime is 1289631771319. The reversal of 1289631771264 is 4621771369821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16968292 + ... + 17044124.

Almost surely, 2^{1289631771264} 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 1289631771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741009105440).

1289631771264 is an abundant number, since it is smaller than the sum of its proper divisors (2192386439616).

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

1289631771264 is an equidigital number, since it uses as much as digits as its factorization.

1289631771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76578 (or 76566 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The spelling of 1289631771264 in words is "one trillion, two hundred eighty-nine billion, six hundred thirty-one million, seven hundred seventy-one thousand, two hundred sixty-four".