162007329792 has 1056 divisors, whose sum is σ = 595902988800. Its totient is φ = 38149816320.

The previous prime is 162007329769. The next prime is 162007329823. The reversal of 162007329792 is 297923700261.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1433693128 + ... + 1433693240.

Almost surely, 2^162007329792 is an apocalyptic number.

162007329792 is a gapful number since it is divisible by the number (12) 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 162007329792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297951494400).

162007329792 is an abundant number, since it is smaller than the sum of its proper divisors (433895659008).

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

162007329792 is a wasteful number, since it uses less digits than its factorization.

162007329792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 162007329792 in words is "one hundred sixty-two billion, seven million, three hundred twenty-nine thousand, seven hundred ninety-two".