864198047160 has 576 divisors, whose sum is σ = 3462758618400. Its totient is φ = 191147765760.

The previous prime is 864198047147. The next prime is 864198047179. The reversal of 864198047160 is 61740891468.

864198047160 is a `hidden beast` number, since 86 + 4 + 1 + 98 + 0 + 471 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 864198047097 and 864198047106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50847624 + ... + 50864616.

Almost surely, 2^864198047160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864198047160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731379309200).

864198047160 is an abundant number, since it is smaller than the sum of its proper divisors (2598560571240).

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

864198047160 is a wasteful number, since it uses less digits than its factorization.

864198047160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17089 (or 17041 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 864198047160 in words is "eight hundred sixty-four billion, one hundred ninety-eight million, forty-seven thousand, one hundred sixty".