285409557151488 has 1440 divisors, whose sum is σ = 1126777911114240. Its totient is φ = 69608303493120.

The previous prime is 285409557151421. The next prime is 285409557151531. The reversal of 285409557151488 is 884151755904582.

285409557151488 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 0 + 9 + 5 + 571 + 5 + 1 + 48 + 8 = 666.

It is a super-2 number, since 2×285409557151488² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3428013156 + ... + 3428096412.

It is an arithmetic number, because the mean of its divisors is an integer number (782484660496).

Almost surely, 2^{285409557151488} is an apocalyptic number.

285409557151488 is a gapful number since it is divisible by the number (28) 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 285409557151488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563388955557120).

285409557151488 is an abundant number, since it is smaller than the sum of its proper divisors (841368353962752).

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

285409557151488 is a wasteful number, since it uses less digits than its factorization.

285409557151488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83435 (or 83412 counting only the distinct ones).

The product of its (nonzero) digits is 645120000, while the sum is 72.

The spelling of 285409557151488 in words is "two hundred eighty-five trillion, four hundred nine billion, five hundred fifty-seven million, one hundred fifty-one thousand, four hundred eighty-eight".