285010222926240 has 864 divisors, whose sum is σ = 1182338348196096. Its totient is φ = 62219966054400.

The previous prime is 285010222926173. The next prime is 285010222926287. The reversal of 285010222926240 is 42629222010582.

285010222926240 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 10 + 2 + 2 + 2 + 9 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 1092067765 + ... + 1092328715.

It is an arithmetic number, because the mean of its divisors is an integer number (1368447162264).

Almost surely, 2^{285010222926240} is an apocalyptic number.

285010222926240 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 285010222926240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591169174098048).

285010222926240 is an abundant number, since it is smaller than the sum of its proper divisors (897328125269856).

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

285010222926240 is a wasteful number, since it uses less digits than its factorization.

285010222926240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261682 (or 261664 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 285010222926240 in words is "two hundred eighty-five trillion, ten billion, two hundred twenty-two million, nine hundred twenty-six thousand, two hundred forty".