868881173760 has 864 divisors, whose sum is σ = 3309287933952. Its totient is φ = 209529077760.

The previous prime is 868881173747. The next prime is 868881173807. The reversal of 868881173760 is 67371188868.

It is a super-2 number, since 2×868881173760² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1013863252 + ... + 1013864108.

It is an arithmetic number, because the mean of its divisors is an integer number (3830194368).

Almost surely, 2^868881173760 is an apocalyptic number.

868881173760 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 868881173760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654643966976).

868881173760 is an abundant number, since it is smaller than the sum of its proper divisors (2440406760192).

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

868881173760 is a wasteful number, since it uses less digits than its factorization.

868881173760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 868881173760 in words is "eight hundred sixty-eight billion, eight hundred eighty-one million, one hundred seventy-three thousand, seven hundred sixty".