868554961120 has 384 divisors, whose sum is σ = 2606035203072. Its totient is φ = 265686220800.

The previous prime is 868554961111. The next prime is 868554961139. The reversal of 868554961120 is 21169455868.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433626039 + ... + 433628041.

It is an arithmetic number, because the mean of its divisors is an integer number (6786550008).

Almost surely, 2^868554961120 is an apocalyptic number.

868554961120 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 868554961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303017601536).

868554961120 is an abundant number, since it is smaller than the sum of its proper divisors (1737480241952).

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

868554961120 is a wasteful number, since it uses less digits than its factorization.

868554961120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 55.

The spelling of 868554961120 in words is "eight hundred sixty-eight billion, five hundred fifty-four million, nine hundred sixty-one thousand, one hundred twenty".