201538612680 has 256 divisors, whose sum is σ = 618173337600. Its totient is φ = 52556928000.

The previous prime is 201538612673. The next prime is 201538612699. The reversal of 201538612680 is 86216835102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 518093926 + ... + 518094314.

It is an arithmetic number, because the mean of its divisors is an integer number (2414739600).

Almost surely, 2^201538612680 is an apocalyptic number.

201538612680 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 201538612680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309086668800).

201538612680 is an abundant number, since it is smaller than the sum of its proper divisors (416634724920).

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

201538612680 is a wasteful number, since it uses less digits than its factorization.

201538612680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 201538612680 in words is "two hundred one billion, five hundred thirty-eight million, six hundred twelve thousand, six hundred eighty".