872446014720 has 288 divisors, whose sum is σ = 3538254263040. Its totient is φ = 199416176640.

The previous prime is 872446014709. The next prime is 872446014763. The reversal of 872446014720 is 27410644278.

872446014720 is a `hidden beast` number, since 8 + 7 + 24 + 460 + 147 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×872446014720² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1561251 + ... + 2045090.

It is an arithmetic number, because the mean of its divisors is an integer number (12285605080).

Almost surely, 2^872446014720 is an apocalyptic number.

872446014720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

872446014720 is an abundant number, since it is smaller than the sum of its proper divisors (2665808248320).

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

872446014720 is a wasteful number, since it uses less digits than its factorization.

872446014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606378 (or 3606358 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

Adding to 872446014720 its reverse (27410644278), we get a palindrome (899856658998).

The spelling of 872446014720 in words is "eight hundred seventy-two billion, four hundred forty-six million, fourteen thousand, seven hundred twenty".