1157664005289 has 12 divisors (see below), whose sum is σ = 1824197826672. Its totient is φ = 701614548600.

The previous prime is 1157664005279. The next prime is 1157664005413. The reversal of 1157664005289 is 9825004667511.

It is a happy number.

1157664005289 is a `hidden beast` number, since 1 + 1 + 5 + 76 + 6 + 40 + 0 + 528 + 9 = 666.

It is not a de Polignac number, because 1157664005289 - 2¹⁹ = 1157663481001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1157664005219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5846787807 + ... + 5846788004.

It is an arithmetic number, because the mean of its divisors is an integer number (152016485556).

Almost surely, 2^{1157664005289} is an apocalyptic number.

It is an amenable number.

1157664005289 is a deficient number, since it is larger than the sum of its proper divisors (666533821383).

1157664005289 is a wasteful number, since it uses less digits than its factorization.

1157664005289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11693575828 (or 11693575825 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1157664005289 in words is "one trillion, one hundred fifty-seven billion, six hundred sixty-four million, five thousand, two hundred eighty-nine".