10787584809568 has 192 divisors, whose sum is σ = 24914736000000. Its totient is φ = 4595828170752.

The previous prime is 10787584809553. The next prime is 10787584809601. The reversal of 10787584809568 is 86590848578701.

It is a junction number, because it is equal to n+sod(n) for n = 10787584809494 and 10787584809503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1440453568 + ... + 1440461056.

It is an arithmetic number, because the mean of its divisors is an integer number (129764250000).

Almost surely, 2^{10787584809568} 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 10787584809568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457368000000).

10787584809568 is an abundant number, since it is smaller than the sum of its proper divisors (14127151190432).

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

10787584809568 is an equidigital number, since it uses as much as digits as its factorization.

10787584809568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 76.

The spelling of 10787584809568 in words is "ten trillion, seven hundred eighty-seven billion, five hundred eighty-four million, eight hundred nine thousand, five hundred sixty-eight".