200821152672 has 288 divisors, whose sum is σ = 681773863680. Its totient is φ = 54824140800.

The previous prime is 200821152671. The next prime is 200821152733. The reversal of 200821152672 is 276251128002.

It is a happy number.

200821152672 is a `hidden beast` number, since 200 + 82 + 115 + 267 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (200821152671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60323104 + ... + 60326432.

It is an arithmetic number, because the mean of its divisors is an integer number (2367270360).

Almost surely, 2^200821152672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200821152672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340886931840).

200821152672 is an abundant number, since it is smaller than the sum of its proper divisors (480952711008).

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

200821152672 is a wasteful number, since it uses less digits than its factorization.

200821152672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 200821152672 in words is "two hundred billion, eight hundred twenty-one million, one hundred fifty-two thousand, six hundred seventy-two".