201272289600 has 672 divisors, whose sum is σ = 711948182400. Its totient is φ = 49633689600.

The previous prime is 201272289587. The next prime is 201272289629. The reversal of 201272289600 is 6982272102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1112001510 + ... + 1112001690.

It is an arithmetic number, because the mean of its divisors is an integer number (1059446700).

Almost surely, 2^201272289600 is an apocalyptic number.

201272289600 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 201272289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355974091200).

201272289600 is an abundant number, since it is smaller than the sum of its proper divisors (510675892800).

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

201272289600 is a wasteful number, since it uses less digits than its factorization.

201272289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 201272289600 in words is "two hundred one billion, two hundred seventy-two million, two hundred eighty-nine thousand, six hundred".