859616197440 has 2688 divisors, whose sum is σ = 4077668044800. Its totient is φ = 147733217280.

The previous prime is 859616197439. The next prime is 859616197483. The reversal of 859616197440 is 44791616958.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9658608916 + ... + 9658609004.

It is an arithmetic number, because the mean of its divisors is an integer number (1516989600).

Almost surely, 2^859616197440 is an apocalyptic number.

859616197440 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 859616197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038834022400).

859616197440 is an abundant number, since it is smaller than the sum of its proper divisors (3218051847360).

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

859616197440 is a wasteful number, since it uses less digits than its factorization.

859616197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 859616197440 in words is "eight hundred fifty-nine billion, six hundred sixteen million, one hundred ninety-seven thousand, four hundred forty".