201606451200 has 1248 divisors, whose sum is σ = 924353694720. Its totient is φ = 41848012800.

The previous prime is 201606451199. The next prime is 201606451223. The reversal of 201606451200 is 2154606102.

201606451200 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 0 + 6 + 451 + 200 = 666.

It is a super-2 number, since 2×201606451200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 212889127 + ... + 212890073.

Almost surely, 2^201606451200 is an apocalyptic number.

201606451200 is a gapful number since it is divisible by the number (20) 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 201606451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462176847360).

201606451200 is an abundant number, since it is smaller than the sum of its proper divisors (722747243520).

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

201606451200 is a wasteful number, since it uses less digits than its factorization.

201606451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 201606451200 in words is "two hundred one billion, six hundred six million, four hundred fifty-one thousand, two hundred".