286638474280720 has 40 divisors (see below), whose sum is σ = 666482061168000. Its totient is φ = 114647199008640.

The previous prime is 286638474280699. The next prime is 286638474280729. The reversal of 286638474280720 is 27082474836682.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×286638474280720² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (286638474280729) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 126852826 + ... + 129092665.

It is an arithmetic number, because the mean of its divisors is an integer number (16662051529200).

Almost surely, 2^{286638474280720} is an apocalyptic number.

286638474280720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286638474280720 is an abundant number, since it is smaller than the sum of its proper divisors (379843586887280).

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

286638474280720 is a wasteful number, since it uses less digits than its factorization.

286638474280720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255959503 (or 255959497 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 67.

The spelling of 286638474280720 in words is "two hundred eighty-six trillion, six hundred thirty-eight billion, four hundred seventy-four million, two hundred eighty thousand, seven hundred twenty".