868950097920 has 1920 divisors, whose sum is σ = 3623768064000. Its totient is φ = 196199055360.

The previous prime is 868950097919. The next prime is 868950097921. The reversal of 868950097920 is 29790059868.

It is an interprime number because it is at equal distance from previous prime (868950097919) and next prime (868950097921).

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (868950097921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28030648305 + ... + 28030648335.

It is an arithmetic number, because the mean of its divisors is an integer number (1887379200).

Almost surely, 2^868950097920 is an apocalyptic number.

868950097920 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 868950097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811884032000).

868950097920 is an abundant number, since it is smaller than the sum of its proper divisors (2754817966080).

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

868950097920 is a wasteful number, since it uses less digits than its factorization.

868950097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 868950097920 in words is "eight hundred sixty-eight billion, nine hundred fifty million, ninety-seven thousand, nine hundred twenty".