2572164746511 has 16 divisors (see below), whose sum is σ = 3454318560000. Its totient is φ = 1702394376768.

The previous prime is 2572164746491. The next prime is 2572164746513. The reversal of 2572164746511 is 1156474612752.

It is a happy number.

It is not a de Polignac number, because 2572164746511 - 2⁵ = 2572164746479 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572164746513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23714475 + ... + 23822691.

It is an arithmetic number, because the mean of its divisors is an integer number (215894910000).

Almost surely, 2^{2572164746511} is an apocalyptic number.

2572164746511 is a deficient number, since it is larger than the sum of its proper divisors (882153813489).

2572164746511 is a wasteful number, since it uses less digits than its factorization.

2572164746511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165358.

The product of its digits is 2822400, while the sum is 51.

The spelling of 2572164746511 in words is "two trillion, five hundred seventy-two billion, one hundred sixty-four million, seven hundred forty-six thousand, five hundred eleven".