201553435300 has 144 divisors (see below), whose sum is σ = 502217856000. Its totient is φ = 68778023040.

The previous prime is 201553435283. The next prime is 201553435301. The reversal of 201553435300 is 3534355102.

It is not an unprimeable number, because it can be changed into a prime (201553435301) 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, 205038609 + ... + 205039591.

It is an arithmetic number, because the mean of its divisors is an integer number (3487624000).

Almost surely, 2^201553435300 is an apocalyptic number.

201553435300 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 201553435300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251108928000).

201553435300 is an abundant number, since it is smaller than the sum of its proper divisors (300664420700).

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

201553435300 is a wasteful number, since it uses less digits than its factorization.

201553435300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The spelling of 201553435300 in words is "two hundred one billion, five hundred fifty-three million, four hundred thirty-five thousand, three hundred".