873564410880 has 1056 divisors, whose sum is σ = 3736714982400. Its totient is φ = 192743276544.

The previous prime is 873564410861. The next prime is 873564410897. The reversal of 873564410880 is 88014465378.

873564410880 is a `hidden beast` number, since 8 + 73 + 56 + 441 + 0 + 8 + 80 = 666.

It is a super-2 number, since 2×873564410880² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 196436817 + ... + 196441263.

Almost surely, 2^873564410880 is an apocalyptic number.

873564410880 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 873564410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868357491200).

873564410880 is an abundant number, since it is smaller than the sum of its proper divisors (2863150571520).

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

873564410880 is a wasteful number, since it uses less digits than its factorization.

873564410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 873564410880 in words is "eight hundred seventy-three billion, five hundred sixty-four million, four hundred ten thousand, eight hundred eighty".