162561738240 has 1600 divisors, whose sum is σ = 695878318080. Its totient is φ = 36130406400.

The previous prime is 162561738217. The next prime is 162561738257. The reversal of 162561738240 is 42837165261.

162561738240 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 617 + 3 + 8 + 24 + 0 = 666.

162561738240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162561738240² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5243927025 + ... + 5243927055.

Almost surely, 2^162561738240 is an apocalyptic number.

162561738240 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 162561738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347939159040).

162561738240 is an abundant number, since it is smaller than the sum of its proper divisors (533316579840).

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

162561738240 is an equidigital number, since it uses as much as digits as its factorization.

162561738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 162561738240 in words is "one hundred sixty-two billion, five hundred sixty-one million, seven hundred thirty-eight thousand, two hundred forty".