872140608000 has 1440 divisors, whose sum is σ = 3417419985408. Its totient is φ = 221709312000.

The previous prime is 872140607927. The next prime is 872140608013. The reversal of 872140608000 is 806041278.

872140608000 is a `hidden beast` number, since 8 + 7 + 2 + 1 + 40 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13017023967 + ... + 13017024033.

Almost surely, 2^872140608000 is an apocalyptic number.

872140608000 is a gapful number since it is divisible by the number (80) 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 872140608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708709992704).

872140608000 is an abundant number, since it is smaller than the sum of its proper divisors (2545279377408).

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

872140608000 is an frugal number, since it uses more digits than its factorization.

872140608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 872140608000 its reverse (806041278), we get a palindrome (872946649278).

The spelling of 872140608000 in words is "eight hundred seventy-two billion, one hundred forty million, six hundred eight thousand".