162032056300800 has 4536 divisors, whose sum is σ = 748389542712000. Its totient is φ = 34606001848320.

The previous prime is 162032056300799. The next prime is 162032056300801. The reversal of 162032056300800 is 8003650230261.

It is a happy number.

162032056300800 is a `hidden beast` number, since 1 + 6 + 20 + 320 + 5 + 6 + 300 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (162032056300799) and next prime (162032056300801).

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162032056300801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 2219617209564 + ... + 2219617209636.

Almost surely, 2^{162032056300800} is an apocalyptic number.

162032056300800 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 162032056300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374194771356000).

162032056300800 is an abundant number, since it is smaller than the sum of its proper divisors (586357486411200).

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

162032056300800 is an frugal number, since it uses more digits than its factorization.

162032056300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 162032056300800 in words is "one hundred sixty-two trillion, thirty-two billion, fifty-six million, three hundred thousand, eight hundred".