162320090688000 has 1920 divisors, whose sum is σ = 686444928998400. Its totient is φ = 36849254400000.

The previous prime is 162320090687999. The next prime is 162320090688013. The reversal of 162320090688000 is 886090023261.

162320090688000 is a `hidden beast` number, since 162 + 320 + 0 + 90 + 6 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29832765280 + ... + 29832770720.

It is an arithmetic number, because the mean of its divisors is an integer number (357523400520).

Almost surely, 2^{162320090688000} is an apocalyptic number.

162320090688000 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 162320090688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343222464499200).

162320090688000 is an abundant number, since it is smaller than the sum of its proper divisors (524124838310400).

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

162320090688000 is an equidigital number, since it uses as much as digits as its factorization.

162320090688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 162320090688000 in words is "one hundred sixty-two trillion, three hundred twenty billion, ninety million, six hundred eighty-eight thousand".