285215461090560 has 3888 divisors, whose sum is σ = 1353150466012800. Its totient is φ = 53858622504960.

The previous prime is 285215461090487. The next prime is 285215461090621. The reversal of 285215461090560 is 65090164512582.

285215461090560 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 1 + 546 + 1 + 0 + 90 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×285215461090560² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 285215461090497 and 285215461090506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1914197725366 + ... + 1914197725514.

Almost surely, 2^{285215461090560} is an apocalyptic number.

285215461090560 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 285215461090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676575233006400).

285215461090560 is an abundant number, since it is smaller than the sum of its proper divisors (1067935004922240).

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

285215461090560 is a wasteful number, since it uses less digits than its factorization.

285215461090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 285215461090560 in words is "two hundred eighty-five trillion, two hundred fifteen billion, four hundred sixty-one million, ninety thousand, five hundred sixty".