285142325760 has 320 divisors, whose sum is σ = 1022168505600. Its totient is φ = 75338366976.

The previous prime is 285142325753. The next prime is 285142325801. The reversal of 285142325760 is 67523241582.

285142325760 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 42 + 32 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×285142325760² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7515157 + ... + 7553003.

It is an arithmetic number, because the mean of its divisors is an integer number (3194276580).

Almost surely, 2^285142325760 is an apocalyptic number.

285142325760 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 285142325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511084252800).

285142325760 is an abundant number, since it is smaller than the sum of its proper divisors (737026179840).

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

285142325760 is a wasteful number, since it uses less digits than its factorization.

285142325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37988 (or 37966 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 285142325760 in words is "two hundred eighty-five billion, one hundred forty-two million, three hundred twenty-five thousand, seven hundred sixty".