873569219356440 has 896 divisors, whose sum is σ = 2980715332008960. Its totient is φ = 230302165496832.

The previous prime is 873569219356333. The next prime is 873569219356487. The reversal of 873569219356440 is 44653912965378.

873569219356440 is a `hidden beast` number, since 8 + 7 + 3 + 5 + 6 + 9 + 2 + 19 + 3 + 564 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1201608279357 + ... + 1201608280083.

It is an arithmetic number, because the mean of its divisors is an integer number (3326691218760).

It is a 1-persistent number, because it is pandigital, but 2⋅873569219356440 = 1747138438712880 is not.

Almost surely, 2^{873569219356440} 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 873569219356440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490357666004480).

873569219356440 is an abundant number, since it is smaller than the sum of its proper divisors (2107146112652520).

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

873569219356440 is a wasteful number, since it uses less digits than its factorization.

873569219356440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 873569219356440 in words is "eight hundred seventy-three trillion, five hundred sixty-nine billion, two hundred nineteen million, three hundred fifty-six thousand, four hundred forty".