863809220160 has 560 divisors, whose sum is σ = 3140783680320. Its totient is φ = 225287516160.

The previous prime is 863809220123. The next prime is 863809220161. The reversal of 863809220160 is 61022908368.

863809220160 is a `hidden beast` number, since 8 + 6 + 380 + 9 + 2 + 201 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (863809220161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 322676742 + ... + 322679418.

Almost surely, 2^863809220160 is an apocalyptic number.

863809220160 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 863809220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570391840160).

863809220160 is an abundant number, since it is smaller than the sum of its proper divisors (2276974460160).

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

863809220160 is a wasteful number, since it uses less digits than its factorization.

863809220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 863809220160 in words is "eight hundred sixty-three billion, eight hundred nine million, two hundred twenty thousand, one hundred sixty".