104288865730560 has 720 divisors, whose sum is σ = 417183429551616. Its totient is φ = 23605903097856.

The previous prime is 104288865730481. The next prime is 104288865730561. The reversal of 104288865730560 is 65037568882401.

104288865730560 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 8 + 8 + 8 + 6 + 573 + 0 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104288865730561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531480787 + ... + 531676973.

Almost surely, 2^{104288865730560} is an apocalyptic number.

104288865730560 is a gapful number since it is divisible by the number (10) 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 104288865730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208591714775808).

104288865730560 is an abundant number, since it is smaller than the sum of its proper divisors (312894563821056).

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

104288865730560 is a wasteful number, since it uses less digits than its factorization.

104288865730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196336 (or 196307 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 104288865730560 in words is "one hundred four trillion, two hundred eighty-eight billion, eight hundred sixty-five million, seven hundred thirty thousand, five hundred sixty".