163540225206000 has 640 divisors, whose sum is σ = 624284517043200. Its totient is φ = 41315404320000.

The previous prime is 163540225205969. The next prime is 163540225206011. The reversal of 163540225206000 is 602522045361.

163540225206000 is a `hidden beast` number, since 1 + 6 + 3 + 5 + 4 + 0 + 2 + 25 + 20 + 600 + 0 = 666.

163540225206000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82122075 + ... + 84089925.

It is an arithmetic number, because the mean of its divisors is an integer number (975444557880).

Almost surely, 2^{163540225206000} is an apocalyptic number.

163540225206000 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 163540225206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312142258521600).

163540225206000 is an abundant number, since it is smaller than the sum of its proper divisors (460744291837200).

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

163540225206000 is an equidigital number, since it uses as much as digits as its factorization.

163540225206000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967914 (or 1967880 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 163540225206000 in words is "one hundred sixty-three trillion, five hundred forty billion, two hundred twenty-five million, two hundred six thousand".