285645735360000 has 2000 divisors, whose sum is σ = 1103630167398528. Its totient is φ = 73455206400000.

The previous prime is 285645735359953. The next prime is 285645735360017. The reversal of 285645735360000 is 63537546582.

285645735360000 is a `hidden beast` number, since 2 + 8 + 5 + 6 + 4 + 573 + 5 + 3 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2000).

It is a super-2 number, since 2×285645735360000² (a number of 30 digits) contains 22 as substring.

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

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 199 ways as a sum of consecutive naturals, for example, 347924159590 + ... + 347924160410.

Almost surely, 2^{285645735360000} is an apocalyptic number.

285645735360000 is a gapful number since it is divisible by the number (20) 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 285645735360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551815083699264).

285645735360000 is an abundant number, since it is smaller than the sum of its proper divisors (817984432038528).

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

285645735360000 is an frugal number, since it uses more digits than its factorization.

285645735360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 285645735360000 in words is "two hundred eighty-five trillion, six hundred forty-five billion, seven hundred thirty-five million, three hundred sixty thousand".