285212022599952 has 720 divisors, whose sum is σ = 992511709113600. Its totient is φ = 76222006608384.

The previous prime is 285212022599939. The next prime is 285212022599953. The reversal of 285212022599952 is 259995220212582.

285212022599952 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 12 + 0 + 22 + 599 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 285212022599952.

It is not an unprimeable number, because it can be changed into a prime (285212022599953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3823333918 + ... + 3823408514.

It is an arithmetic number, because the mean of its divisors is an integer number (1378488484880).

Almost surely, 2^{285212022599952} 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 285212022599952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496255854556800).

285212022599952 is an abundant number, since it is smaller than the sum of its proper divisors (707299686513648).

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

285212022599952 is a wasteful number, since it uses less digits than its factorization.

285212022599952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74761 (or 74707 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 285212022599952 in words is "two hundred eighty-five trillion, two hundred twelve billion, twenty-two million, five hundred ninety-nine thousand, nine hundred fifty-two".