285427742955264 has 1728 divisors, whose sum is σ = 1094865470619648. Its totient is φ = 72137491660800.

The previous prime is 285427742955253. The next prime is 285427742955287. The reversal of 285427742955264 is 462559247724582.

285427742955264 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 2 + 7 + 7 + 4 + 2 + 9 + 552 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 285427742955192 and 285427742955201.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 18075335209 + ... + 18075350999.

Almost surely, 2^{285427742955264} is an apocalyptic number.

285427742955264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285427742955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547432735309824).

285427742955264 is an abundant number, since it is smaller than the sum of its proper divisors (809437727664384).

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

285427742955264 is a wasteful number, since it uses less digits than its factorization.

285427742955264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15976 (or 15950 counting only the distinct ones).

The product of its digits is 2709504000, while the sum is 72.

The spelling of 285427742955264 in words is "two hundred eighty-five trillion, four hundred twenty-seven billion, seven hundred forty-two million, nine hundred fifty-five thousand, two hundred sixty-four".