860968442880 has 2112 divisors, whose sum is σ = 3914141736960. Its totient is φ = 170039181312.

The previous prime is 860968442869. The next prime is 860968442951. The reversal of 860968442880 is 88244869068.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 7619189704 + ... + 7619189816.

Almost surely, 2^860968442880 is an apocalyptic number.

860968442880 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 860968442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957070868480).

860968442880 is an abundant number, since it is smaller than the sum of its proper divisors (3053173294080).

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

860968442880 is a wasteful number, since it uses less digits than its factorization.

860968442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 860968442880 in words is "eight hundred sixty billion, nine hundred sixty-eight million, four hundred forty-two thousand, eight hundred eighty".