285189752420272 has 320 divisors, whose sum is σ = 696419229491200. Its totient is φ = 110386244689920.

The previous prime is 285189752420239. The next prime is 285189752420359. The reversal of 285189752420272 is 272024257981582.

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, 3992149738 + ... + 3992221174.

It is an arithmetic number, because the mean of its divisors is an integer number (2176310092160).

Almost surely, 2^{285189752420272} 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 285189752420272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348209614745600).

285189752420272 is an abundant number, since it is smaller than the sum of its proper divisors (411229477070928).

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

285189752420272 is a wasteful number, since it uses less digits than its factorization.

285189752420272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72404 (or 72398 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 64.

The spelling of 285189752420272 in words is "two hundred eighty-five trillion, one hundred eighty-nine billion, seven hundred fifty-two million, four hundred twenty thousand, two hundred seventy-two".