863889438720 has 384 divisors, whose sum is σ = 3445750264320. Its totient is φ = 179509002240.

The previous prime is 863889438703. The next prime is 863889438721. The reversal of 863889438720 is 27834988368.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863889438721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2182834 + ... + 2548046.

It is an arithmetic number, because the mean of its divisors is an integer number (8973307980).

Almost surely, 2^863889438720 is an apocalyptic number.

863889438720 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 863889438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722875132160).

863889438720 is an abundant number, since it is smaller than the sum of its proper divisors (2581860825600).

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

863889438720 is a wasteful number, since it uses less digits than its factorization.

863889438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365261 (or 365241 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 863889438720 in words is "eight hundred sixty-three billion, eight hundred eighty-nine million, four hundred thirty-eight thousand, seven hundred twenty".