157585976140801 has 16 divisors (see below), whose sum is σ = 175561120627200. Its totient is φ = 140447060970048.

The previous prime is 157585976140793. The next prime is 157585976140871. The reversal of 157585976140801 is 108041679585751.

It is a cyclic number.

It is not a de Polignac number, because 157585976140801 - 2³ = 157585976140793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157585976140871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60063720 + ... + 62632438.

It is an arithmetic number, because the mean of its divisors is an integer number (10972570039200).

Almost surely, 2^{157585976140801} is an apocalyptic number.

It is an amenable number.

157585976140801 is a deficient number, since it is larger than the sum of its proper divisors (17975144486399).

157585976140801 is a wasteful number, since it uses less digits than its factorization.

157585976140801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731488.

The product of its (nonzero) digits is 84672000, while the sum is 67.

The spelling of 157585976140801 in words is "one hundred fifty-seven trillion, five hundred eighty-five billion, nine hundred seventy-six million, one hundred forty thousand, eight hundred one".