162666731520 has 384 divisors, whose sum is σ = 596913408000. Its totient is φ = 41976299520.

The previous prime is 162666731459. The next prime is 162666731527. The reversal of 162666731520 is 25137666261.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×162666731520³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162666731527) 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 31 ways as a sum of consecutive naturals, for example, 8561391 + ... + 8580369.

It is an arithmetic number, because the mean of its divisors is an integer number (1554462000).

Almost surely, 2^162666731520 is an apocalyptic number.

162666731520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162666731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298456704000).

162666731520 is an abundant number, since it is smaller than the sum of its proper divisors (434246676480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

162666731520 is a wasteful number, since it uses less digits than its factorization.

162666731520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19046 (or 19020 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 162666731520 in words is "one hundred sixty-two billion, six hundred sixty-six million, seven hundred thirty-one thousand, five hundred twenty".