842859601920 has 672 divisors, whose sum is σ = 3515073569280. Its totient is φ = 182503342080.

The previous prime is 842859601897. The next prime is 842859601957. The reversal of 842859601920 is 29106958248.

It is a happy number.

842859601920 is a `hidden beast` number, since 8 + 4 + 2 + 8 + 5 + 9 + 601 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×842859601920³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49020525 + ... + 49037715.

It is an arithmetic number, because the mean of its divisors is an integer number (5230764240).

Almost surely, 2^842859601920 is an apocalyptic number.

842859601920 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 842859601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757536784640).

842859601920 is an abundant number, since it is smaller than the sum of its proper divisors (2672213967360).

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

842859601920 is a wasteful number, since it uses less digits than its factorization.

842859601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17254 (or 17227 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 842859601920 in words is "eight hundred forty-two billion, eight hundred fifty-nine million, six hundred one thousand, nine hundred twenty".