868972120320 has 576 divisors, whose sum is σ = 2911524618240. Its totient is φ = 220631040000.

The previous prime is 868972120301. The next prime is 868972120337. The reversal of 868972120320 is 23021279868.

It is a super-2 number, since 2×868972120320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 868972120320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3462040195 + ... + 3462040445.

It is an arithmetic number, because the mean of its divisors is an integer number (5054730240).

Almost surely, 2^868972120320 is an apocalyptic number.

868972120320 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 868972120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455762309120).

868972120320 is an abundant number, since it is smaller than the sum of its proper divisors (2042552497920).

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

868972120320 is a wasteful number, since it uses less digits than its factorization.

868972120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 868972120320 in words is "eight hundred sixty-eight billion, nine hundred seventy-two million, one hundred twenty thousand, three hundred twenty".