285198826752 has 216 divisors, whose sum is σ = 946001463680. Its totient is φ = 80945049600.

The previous prime is 285198826751. The next prime is 285198826753. The reversal of 285198826752 is 257628891582.

285198826752 is a `hidden beast` number, since 2 + 8 + 519 + 8 + 8 + 2 + 67 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (285198826751) and next prime (285198826753).

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 285198826752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285198826751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2376774 + ... + 2493882.

Almost surely, 2^285198826752 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 285198826752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473000731840).

285198826752 is an abundant number, since it is smaller than the sum of its proper divisors (660802636928).

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

285198826752 is a wasteful number, since it uses less digits than its factorization.

285198826752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117289 (or 117272 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 285198826752 in words is "two hundred eighty-five billion, one hundred ninety-eight million, eight hundred twenty-six thousand, seven hundred fifty-two".