157972666279751 has 16 divisors (see below), whose sum is σ = 166660050866400. Its totient is φ = 149322883425408.

The previous prime is 157972666279717. The next prime is 157972666279763.

157972666279751 is nontrivially palindromic in base 10.

157972666279751 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-157972666279751 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157972666279151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14923385 + ... + 23208893.

It is an arithmetic number, because the mean of its divisors is an integer number (10416253179150).

Almost surely, 2^{157972666279751} is an apocalyptic number.

157972666279751 is a deficient number, since it is larger than the sum of its proper divisors (8687384586649).

157972666279751 is a wasteful number, since it uses less digits than its factorization.

157972666279751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8287778.

The product of its digits is 4200789600, while the sum is 80.

The spelling of 157972666279751 in words is "one hundred fifty-seven trillion, nine hundred seventy-two billion, six hundred sixty-six million, two hundred seventy-nine thousand, seven hundred fifty-one".