162788887261 has 192 divisors, whose sum is σ = 239390194176. Its totient is φ = 108573696000.

The previous prime is 162788887207. The next prime is 162788887291.

162788887261 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 162788887261 - 2⁹ = 162788886749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 162788887193 and 162788887202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162788887291) 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 191 ways as a sum of consecutive naturals, for example, 1188239985 + ... + 1188240121.

It is an arithmetic number, because the mean of its divisors is an integer number (1246823928).

Almost surely, 2^162788887261 is an apocalyptic number.

162788887261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

162788887261 is a deficient number, since it is larger than the sum of its proper divisors (76601306915).

162788887261 is a wasteful number, since it uses less digits than its factorization.

162788887261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 365 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 64.

It can be divided in two parts, 1627 and 88887261, that added together give a palindrome (88888888).

The spelling of 162788887261 in words is "one hundred sixty-two billion, seven hundred eighty-eight million, eight hundred eighty-seven thousand, two hundred sixty-one".