285721258684680 has 1536 divisors, whose sum is σ = 1203098459996160. Its totient is φ = 57196244828160.

The previous prime is 285721258684643. The next prime is 285721258684691. The reversal of 285721258684680 is 86486852127582.

285721258684680 is a `hidden beast` number, since 2 + 8 + 5 + 72 + 12 + 5 + 86 + 8 + 468 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 285721258684599 and 285721258684608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10540483687 + ... + 10540510793.

It is an arithmetic number, because the mean of its divisors is an integer number (783267226560).

Almost surely, 2^{285721258684680} is an apocalyptic number.

285721258684680 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 285721258684680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601549229998080).

285721258684680 is an abundant number, since it is smaller than the sum of its proper divisors (917377201311480).

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

285721258684680 is a wasteful number, since it uses less digits than its factorization.

285721258684680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27379 (or 27372 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 285721258684680 in words is "two hundred eighty-five trillion, seven hundred twenty-one billion, two hundred fifty-eight million, six hundred eighty-four thousand, six hundred eighty".