162409534560 has 2304 divisors, whose sum is σ = 772980848640. Its totient is φ = 30098718720.

The previous prime is 162409534549. The next prime is 162409534577. The reversal of 162409534560 is 65435904261.

162409534560 is a `hidden beast` number, since 1 + 6 + 240 + 9 + 5 + 345 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3776965899 + ... + 3776965941.

It is an arithmetic number, because the mean of its divisors is an integer number (335495160).

Almost surely, 2^162409534560 is an apocalyptic number.

162409534560 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 162409534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386490424320).

162409534560 is an abundant number, since it is smaller than the sum of its proper divisors (610571314080).

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

162409534560 is a wasteful number, since it uses less digits than its factorization.

162409534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 162409534560 in words is "one hundred sixty-two billion, four hundred nine million, five hundred thirty-four thousand, five hundred sixty".