284560268952960 has 1280 divisors, whose sum is σ = 1364430256358400. Its totient is φ = 54580980695040.

The previous prime is 284560268952943. The next prime is 284560268952991. The reversal of 284560268952960 is 69259862065482.

284560268952960 is a `hidden beast` number, since 2 + 8 + 4 + 5 + 602 + 6 + 8 + 9 + 5 + 2 + 9 + 6 + 0 = 666.

It is a super-3 number, since 3×284560268952960³ (a number of 44 digits) contains 333 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, 49149981 + ... + 54633699.

It is an arithmetic number, because the mean of its divisors is an integer number (1065961137780).

Almost surely, 2^{284560268952960} is an apocalyptic number.

284560268952960 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 284560268952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682215128179200).

284560268952960 is an abundant number, since it is smaller than the sum of its proper divisors (1079869987405440).

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

284560268952960 is a wasteful number, since it uses less digits than its factorization.

284560268952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483781 (or 5483760 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 284560268952960 in words is "two hundred eighty-four trillion, five hundred sixty billion, two hundred sixty-eight million, nine hundred fifty-two thousand, nine hundred sixty".