872099923968 has 1344 divisors, whose sum is σ = 3308537232000. Its totient is φ = 228248616960.

The previous prime is 872099923967. The next prime is 872099923969. The reversal of 872099923968 is 869329990278.

It is an interprime number because it is at equal distance from previous prime (872099923967) and next prime (872099923969).

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 872099923896 and 872099923905.

It is not an unprimeable number, because it can be changed into a prime (872099923963) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6657251263 + ... + 6657251393.

It is an arithmetic number, because the mean of its divisors is an integer number (2461709250).

Almost surely, 2^872099923968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872099923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654268616000).

872099923968 is an abundant number, since it is smaller than the sum of its proper divisors (2436437308032).

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

872099923968 is an equidigital number, since it uses as much as digits as its factorization.

872099923968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 872099923968 in words is "eight hundred seventy-two billion, ninety-nine million, nine hundred twenty-three thousand, nine hundred sixty-eight".