10759825152 has 108 divisors (see below), whose sum is σ = 31171666344. Its totient is φ = 3569448960.

The previous prime is 10759825129. The next prime is 10759825177. The reversal of 10759825152 is 25152895701.

10759825152 is a `hidden beast` number, since 1 + 0 + 7 + 59 + 82 + 515 + 2 = 666.

It is a super-2 number, since 2×10759825152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10759825098 and 10759825107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475078 + ... + 497210.

Almost surely, 2^10759825152 is an apocalyptic number.

10759825152 is a gapful number since it is divisible by the number (12) 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 10759825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15585833172).

10759825152 is an abundant number, since it is smaller than the sum of its proper divisors (20411841192).

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

10759825152 is a wasteful number, since it uses less digits than its factorization.

10759825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22366 (or 22349 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 10759825152 in words is "ten billion, seven hundred fifty-nine million, eight hundred twenty-five thousand, one hundred fifty-two".