868325785600 has 621 divisors, whose sum is σ = 2712548348127. Its totient is φ = 274810798080.

The previous prime is 868325785583. The next prime is 868325785619. The reversal of 868325785600 is 6587523868.

It is a happy number.

The square root of 868325785600 is 931840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 223812255744 + 644513529856 = 473088^2 + 802816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66794291194 + ... + 66794291206.

Almost surely, 2^868325785600 is an apocalyptic number.

868325785600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

868325785600 is the 931840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868325785600

868325785600 is an abundant number, since it is smaller than the sum of its proper divisors (1844222562527).

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

868325785600 is an frugal number, since it uses more digits than its factorization.

868325785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 868325785600 in words is "eight hundred sixty-eight billion, three hundred twenty-five million, seven hundred eighty-five thousand, six hundred".