162523352880 has 960 divisors, whose sum is σ = 668322938880. Its totient is φ = 36188135424.

The previous prime is 162523352867. The next prime is 162523352891. The reversal of 162523352880 is 88253325261.

162523352880 is a `hidden beast` number, since 1 + 6 + 25 + 23 + 3 + 528 + 80 = 666.

162523352880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1279711377 + ... + 1279711503.

It is an arithmetic number, because the mean of its divisors is an integer number (696169728).

Almost surely, 2^162523352880 is an apocalyptic number.

162523352880 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 162523352880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334161469440).

162523352880 is an abundant number, since it is smaller than the sum of its proper divisors (505799586000).

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

162523352880 is a wasteful number, since it uses less digits than its factorization.

162523352880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 162523352880 in words is "one hundred sixty-two billion, five hundred twenty-three million, three hundred fifty-two thousand, eight hundred eighty".