864259618560 has 216 divisors, whose sum is σ = 2988889437744. Its totient is φ = 212740669440.

The previous prime is 864259618543. The next prime is 864259618591. The reversal of 864259618560 is 65816952468.

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

It is a junction number, because it is equal to n+sod(n) for n = 864259618494 and 864259618503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16921 + ... + 1314840.

Almost surely, 2^864259618560 is an apocalyptic number.

864259618560 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 864259618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494444718872).

864259618560 is an abundant number, since it is smaller than the sum of its proper divisors (2124629819184).

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

864259618560 is a wasteful number, since it uses less digits than its factorization.

864259618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331811 (or 1331784 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 864259618560 in words is "eight hundred sixty-four billion, two hundred fifty-nine million, six hundred eighteen thousand, five hundred sixty".