201360508272 has 540 divisors, whose sum is σ = 758530904040. Its totient is φ = 49544732160.

The previous prime is 201360508259. The next prime is 201360508303. The reversal of 201360508272 is 272805063102.

201360508272 is a `hidden beast` number, since 20 + 1 + 3 + 60 + 508 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16215538 + ... + 16227950.

Almost surely, 2^201360508272 is an apocalyptic number.

201360508272 is a gapful number since it is divisible by the number (22) 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 201360508272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379265452020).

201360508272 is an abundant number, since it is smaller than the sum of its proper divisors (557170395768).

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

201360508272 is a wasteful number, since it uses less digits than its factorization.

201360508272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12482 (or 12455 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 201360508272 in words is "two hundred one billion, three hundred sixty million, five hundred eight thousand, two hundred seventy-two".