284857240872960 has 1920 divisors, whose sum is σ = 1202373716544000. Its totient is φ = 64471455498240.

The previous prime is 284857240872899. The next prime is 284857240872979. The reversal of 284857240872960 is 69278042758482.

284857240872960 is a `hidden beast` number, since 2 + 8 + 4 + 8 + 572 + 40 + 8 + 7 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×284857240872960² (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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29303280900 + ... + 29303290620.

It is an arithmetic number, because the mean of its divisors is an integer number (626236310700).

Almost surely, 2^{284857240872960} is an apocalyptic number.

284857240872960 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 284857240872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601186858272000).

284857240872960 is an abundant number, since it is smaller than the sum of its proper divisors (917516475671040).

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

284857240872960 is an equidigital number, since it uses as much as digits as its factorization.

284857240872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9884 (or 9841 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 284857240872960 in words is "two hundred eighty-four trillion, eight hundred fifty-seven billion, two hundred forty million, eight hundred seventy-two thousand, nine hundred sixty".