162001411200 has 576 divisors, whose sum is σ = 592932674880. Its totient is φ = 42100531200.

The previous prime is 162001411127. The next prime is 162001411217. The reversal of 162001411200 is 2114100261.

162001411200 is a `hidden beast` number, since 1 + 620 + 0 + 1 + 41 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 322070149 + ... + 322070651.

It is an arithmetic number, because the mean of its divisors is an integer number (1029397005).

Almost surely, 2^162001411200 is an apocalyptic number.

162001411200 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 162001411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296466337440).

162001411200 is an abundant number, since it is smaller than the sum of its proper divisors (430931263680).

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

162001411200 is a wasteful number, since it uses less digits than its factorization.

162001411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 162001411200 its reverse (2114100261), we get a palindrome (164115511461).

It can be divided in two parts, 16200 and 1411200, that multiplied together give a square (22861440000 = 151200²).

The spelling of 162001411200 in words is "one hundred sixty-two billion, one million, four hundred eleven thousand, two hundred".