859444039680 has 624 divisors, whose sum is σ = 2970852896256. Its totient is φ = 211900170240.

The previous prime is 859444039669. The next prime is 859444039687. The reversal of 859444039680 is 86930444958.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (859444039687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007554134 + ... + 1007554986.

Almost surely, 2^859444039680 is an apocalyptic number.

859444039680 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 859444039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485426448128).

859444039680 is an abundant number, since it is smaller than the sum of its proper divisors (2111408856576).

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

859444039680 is a wasteful number, since it uses less digits than its factorization.

859444039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 859444039680 in words is "eight hundred fifty-nine billion, four hundred forty-four million, thirty-nine thousand, six hundred eighty".