286253230542552 has 512 divisors, whose sum is σ = 1010920716288000. Its totient is φ = 73008816721920.

The previous prime is 286253230542551. The next prime is 286253230542581. The reversal of 286253230542552 is 255245032352682.

286253230542552 is a `hidden beast` number, since 2 + 8 + 6 + 2 + 5 + 3 + 2 + 30 + 54 + 2 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286253230542551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 873014574 + ... + 873342402.

It is an arithmetic number, because the mean of its divisors is an integer number (1974454524000).

Almost surely, 2^{286253230542552} 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 286253230542552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505460358144000).

286253230542552 is an abundant number, since it is smaller than the sum of its proper divisors (724667485745448).

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

286253230542552 is a wasteful number, since it uses less digits than its factorization.

286253230542552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329328 (or 329318 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 54.

The spelling of 286253230542552 in words is "two hundred eighty-six trillion, two hundred fifty-three billion, two hundred thirty million, five hundred forty-two thousand, five hundred fifty-two".