201352577450000 has 240 divisors, whose sum is σ = 503286054505920. Its totient is φ = 77994121920000.

The previous prime is 201352577449999. The next prime is 201352577450051. The reversal of 201352577450000 is 54775253102.

It is a super-3 number, since 3×201352577450000³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201352577450000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197140634 + ... + 198159366.

It is an arithmetic number, because the mean of its divisors is an integer number (2097025227108).

Almost surely, 2^{201352577450000} is an apocalyptic number.

201352577450000 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 201352577450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251643027252960).

201352577450000 is an abundant number, since it is smaller than the sum of its proper divisors (301933477055920).

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

201352577450000 is an equidigital number, since it uses as much as digits as its factorization.

201352577450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018892 (or 1018866 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 41.

The spelling of 201352577450000 in words is "two hundred one trillion, three hundred fifty-two billion, five hundred seventy-seven million, four hundred fifty thousand".