10785822258288 has 480 divisors, whose sum is σ = 35941215614976. Its totient is φ = 2726659584000.

The previous prime is 10785822258287. The next prime is 10785822258293. The reversal of 10785822258288 is 88285222858701.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10785822258283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 718424670 + ... + 718439682.

Almost surely, 2^{10785822258288} 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 10785822258288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17970607807488).

10785822258288 is an abundant number, since it is smaller than the sum of its proper divisors (25155393356688).

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

10785822258288 is a wasteful number, since it uses less digits than its factorization.

10785822258288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15525 (or 15508 counting only the distinct ones).

The product of its (nonzero) digits is 91750400, while the sum is 66.

The spelling of 10785822258288 in words is "ten trillion, seven hundred eighty-five billion, eight hundred twenty-two million, two hundred fifty-eight thousand, two hundred eighty-eight".