162561122400 has 144 divisors (see below), whose sum is σ = 529400116224. Its totient is φ = 43328033280.

The previous prime is 162561122387. The next prime is 162561122407. The reversal of 162561122400 is 4221165261.

It is a super-2 number, since 2×162561122400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162561122407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5127397 + ... + 5159003.

It is an arithmetic number, because the mean of its divisors is an integer number (3676389696).

Almost surely, 2^162561122400 is an apocalyptic number.

162561122400 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 162561122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264700058112).

162561122400 is an abundant number, since it is smaller than the sum of its proper divisors (366838993824).

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

162561122400 is a wasteful number, since it uses less digits than its factorization.

162561122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33773 (or 33760 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 162561122400 its reverse (4221165261), we get a palindrome (166782287661).

The spelling of 162561122400 in words is "one hundred sixty-two billion, five hundred sixty-one million, one hundred twenty-two thousand, four hundred".