820200167552 has 32 divisors (see below), whose sum is σ = 1678154491020. Its totient is φ = 399016295424.

The previous prime is 820200167537. The next prime is 820200167603. The reversal of 820200167552 is 255761002028.

It can be written as a sum of positive squares in 2 ways, for example, as 666077970496 + 154122197056 = 816136^2 + 392584^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86587343 + ... + 86596814.

Almost surely, 2^820200167552 is an apocalyptic number.

It is an amenable number.

820200167552 is an abundant number, since it is smaller than the sum of its proper divisors (857954323468).

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

820200167552 is a wasteful number, since it uses less digits than its factorization.

820200167552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173184208 (or 173184196 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 820200167552 in words is "eight hundred twenty billion, two hundred million, one hundred sixty-seven thousand, five hundred fifty-two".