10527536032 has 48 divisors (see below), whose sum is σ = 22357006560. Its totient is φ = 4850894592.

The previous prime is 10527536023. The next prime is 10527536039. The reversal of 10527536032 is 23063572501.

It is a super-2 number, since 2×10527536032² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10527536039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237063 + ... + 277945.

It is an arithmetic number, because the mean of its divisors is an integer number (465770970).

Almost surely, 2^10527536032 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 10527536032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11178503280).

10527536032 is an abundant number, since it is smaller than the sum of its proper divisors (11829470528).

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

10527536032 is a wasteful number, since it uses less digits than its factorization.

10527536032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41525 (or 41517 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 10527536032 in words is "ten billion, five hundred twenty-seven million, five hundred thirty-six thousand, thirty-two".