10852977024 has 256 divisors, whose sum is σ = 32796672000. Its totient is φ = 3532419072.

The previous prime is 10852976999. The next prime is 10852977029. The reversal of 10852977024 is 42077925801.

It is a happy number.

It is a super-2 number, since 2×10852977024² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10852977029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34673892 + ... + 34674204.

It is an arithmetic number, because the mean of its divisors is an integer number (128112000).

Almost surely, 2^10852977024 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 10852977024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16398336000).

10852977024 is an abundant number, since it is smaller than the sum of its proper divisors (21943694976).

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

10852977024 is a wasteful number, since it uses less digits than its factorization.

10852977024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10852977024 in words is "ten billion, eight hundred fifty-two million, nine hundred seventy-seven thousand, twenty-four".