162916728000 has 896 divisors, whose sum is σ = 614771748864. Its totient is φ = 37711872000.

The previous prime is 162916727969. The next prime is 162916728017. The reversal of 162916728000 is 827619261.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 523847845 + ... + 523848155.

It is an arithmetic number, because the mean of its divisors is an integer number (686129184).

Almost surely, 2^162916728000 is an apocalyptic number.

162916728000 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 162916728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307385874432).

162916728000 is an abundant number, since it is smaller than the sum of its proper divisors (451855020864).

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

162916728000 is a wasteful number, since it uses less digits than its factorization.

162916728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 162916728000 in words is "one hundred sixty-two billion, nine hundred sixteen million, seven hundred twenty-eight thousand".