10532664440 has 64 divisors (see below), whose sum is σ = 25076736000. Its totient is φ = 3970373760.

The previous prime is 10532664433. The next prime is 10532664511. The reversal of 10532664440 is 4446623501.

It is a super-2 number, since 2×10532664440² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10532664440.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 108881 + ... + 181439.

It is an arithmetic number, because the mean of its divisors is an integer number (391824000).

Almost surely, 2^10532664440 is an apocalyptic number.

10532664440 is a gapful number since it is divisible by the number (10) 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 10532664440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12538368000).

10532664440 is an abundant number, since it is smaller than the sum of its proper divisors (14544071560).

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

10532664440 is a wasteful number, since it uses less digits than its factorization.

10532664440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72780 (or 72776 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 10532664440 in words is "ten billion, five hundred thirty-two million, six hundred sixty-four thousand, four hundred forty".