869580090998784 has 1536 divisors, whose sum is σ = 3028368784896000. Its totient is φ = 245547789189120.

The previous prime is 869580090998777. The next prime is 869580090998807. The reversal of 869580090998784 is 487899090085968.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×869580090998784³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 869580090998694 and 869580090998703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187449898737 + ... + 187449903375.

It is an arithmetic number, because the mean of its divisors is an integer number (1971594261000).

Almost surely, 2^{869580090998784} 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 869580090998784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514184392448000).

869580090998784 is an abundant number, since it is smaller than the sum of its proper divisors (2158788693897216).

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

869580090998784 is a wasteful number, since it uses less digits than its factorization.

869580090998784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 22574039040, while the sum is 90.

The spelling of 869580090998784 in words is "eight hundred sixty-nine trillion, five hundred eighty billion, ninety million, nine hundred ninety-eight thousand, seven hundred eighty-four".