10527790822848 has 560 divisors, whose sum is σ = 36017508985920. Its totient is φ = 3014721110016.

The previous prime is 10527790822847. The next prime is 10527790822889. The reversal of 10527790822848 is 84822809772501.

10527790822848 is a `hidden beast` number, since 1 + 0 + 5 + 277 + 9 + 0 + 82 + 284 + 8 = 666.

It is a super-2 number, since 2×10527790822848² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10527790822847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57258808 + ... + 57442376.

It is an arithmetic number, because the mean of its divisors is an integer number (64316980332).

Almost surely, 2^{10527790822848} is an apocalyptic number.

10527790822848 is a gapful number since it is divisible by the number (18) 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 10527790822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18008754492960).

10527790822848 is an abundant number, since it is smaller than the sum of its proper divisors (25489718163072).

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

10527790822848 is a wasteful number, since it uses less digits than its factorization.

10527790822848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183666 (or 183647 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 10527790822848 in words is "ten trillion, five hundred twenty-seven billion, seven hundred ninety million, eight hundred twenty-two thousand, eight hundred forty-eight".