859496985360 has 320 divisors, whose sum is σ = 3356022700800. Its totient is φ = 200433180672.

The previous prime is 859496985337. The next prime is 859496985367. The reversal of 859496985360 is 63589694958.

859496985360 is a `hidden beast` number, since 8 + 5 + 94 + 96 + 98 + 5 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (859496985367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271977 + ... + 1339016.

It is an arithmetic number, because the mean of its divisors is an integer number (10487570940).

Almost surely, 2^859496985360 is an apocalyptic number.

859496985360 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 859496985360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678011350400).

859496985360 is an abundant number, since it is smaller than the sum of its proper divisors (2496525715440).

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

859496985360 is a wasteful number, since it uses less digits than its factorization.

859496985360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611047 (or 1611035 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 859496985360 in words is "eight hundred fifty-nine billion, four hundred ninety-six million, nine hundred eighty-five thousand, three hundred sixty".