162201143105400 has 384 divisors, whose sum is σ = 579447013017600. Its totient is φ = 36766021824000.

The previous prime is 162201143105389. The next prime is 162201143105423. The reversal of 162201143105400 is 4501341102261.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 515338075 + ... + 515652725.

It is an arithmetic number, because the mean of its divisors is an integer number (1508976596400).

Almost surely, 2^{162201143105400} is an apocalyptic number.

162201143105400 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 162201143105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289723506508800).

162201143105400 is an abundant number, since it is smaller than the sum of its proper divisors (417245869912200).

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

162201143105400 is a wasteful number, since it uses less digits than its factorization.

162201143105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315699 (or 315690 counting only the distinct ones).

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

Adding to 162201143105400 its reverse (4501341102261), we get a palindrome (166702484207661).

The spelling of 162201143105400 in words is "one hundred sixty-two trillion, two hundred one billion, one hundred forty-three million, one hundred five thousand, four hundred".