201542585075928 has 96 divisors (see below), whose sum is σ = 560675832593760. Its totient is φ = 65355977364480.

The previous prime is 201542585075917. The next prime is 201542585075989. The reversal of 201542585075928 is 829570585245102.

201542585075928 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 4 + 2 + 58 + 507 + 59 + 28 = 666.

It is a super-2 number, since 2×201542585075928² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13658301 + ... + 24282387.

It is an arithmetic number, because the mean of its divisors is an integer number (5840373256185).

Almost surely, 2^{201542585075928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201542585075928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280337916296880).

201542585075928 is an abundant number, since it is smaller than the sum of its proper divisors (359133247517832).

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

201542585075928 is a wasteful number, since it uses less digits than its factorization.

201542585075928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10631257 (or 10631250 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 63.

The spelling of 201542585075928 in words is "two hundred one trillion, five hundred forty-two billion, five hundred eighty-five million, seventy-five thousand, nine hundred twenty-eight".