873365871329280 has 2448 divisors, whose sum is σ = 3627237345773184. Its totient is φ = 190277411143680.

The previous prime is 873365871329249. The next prime is 873365871329297. The reversal of 873365871329280 is 82923178563378.

873365871329280 is a `hidden beast` number, since 8 + 7 + 3 + 3 + 6 + 587 + 1 + 32 + 9 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×873365871329280² (a number of 31 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 873365871329199 and 873365871329208.

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, 6876896624577 + ... + 6876896624703.

Almost surely, 2^{873365871329280} is an apocalyptic number.

873365871329280 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 873365871329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813618672886592).

873365871329280 is an abundant number, since it is smaller than the sum of its proper divisors (2753871474443904).

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

873365871329280 is an equidigital number, since it uses as much as digits as its factorization.

873365871329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 873365871329280 in words is "eight hundred seventy-three trillion, three hundred sixty-five billion, eight hundred seventy-one million, three hundred twenty-nine thousand, two hundred eighty".