863009599840080 has 3200 divisors, whose sum is σ = 3710354522112000. Its totient is φ = 161899347456000.

The previous prime is 863009599840079. The next prime is 863009599840139. The reversal of 863009599840080 is 80048995900368.

It is a super-2 number, since 2×863009599840080² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 863009599839987 and 863009599840014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1028616924301 + ... + 1028616925139.

It is an arithmetic number, because the mean of its divisors is an integer number (1159485788160).

Almost surely, 2^{863009599840080} is an apocalyptic number.

863009599840080 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 863009599840080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855177261056000).

863009599840080 is an abundant number, since it is smaller than the sum of its proper divisors (2847344922271920).

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

863009599840080 is a wasteful number, since it uses less digits than its factorization.

863009599840080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 69.

The spelling of 863009599840080 in words is "eight hundred sixty-three trillion, nine billion, five hundred ninety-nine million, eight hundred forty thousand, eighty".