202561337052160 has 88 divisors (see below), whose sum is σ = 485959520233296. Its totient is φ = 81016249466880.

The previous prime is 202561337052133. The next prime is 202561337052169. The reversal of 202561337052160 is 61250733165202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (202561337052169) 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 7 ways as a sum of consecutive naturals, for example, 48173470 + ... + 52209250.

Almost surely, 2^{202561337052160} is an apocalyptic number.

202561337052160 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 202561337052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242979760116648).

202561337052160 is an abundant number, since it is smaller than the sum of its proper divisors (283398183181136).

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

202561337052160 is an equidigital number, since it uses as much as digits as its factorization.

202561337052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045609 (or 4045591 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 202561337052160 in words is "two hundred two trillion, five hundred sixty-one billion, three hundred thirty-seven million, fifty-two thousand, one hundred sixty".