10522032000 has 256 divisors, whose sum is σ = 35072593920. Its totient is φ = 2790451200.

The previous prime is 10522031999. The next prime is 10522032011. The reversal of 10522032000 is 23022501.

It is a super-2 number, since 2×10522032000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10703509 + ... + 10704491.

It is an arithmetic number, because the mean of its divisors is an integer number (137002320).

Almost surely, 2^10522032000 is an apocalyptic number.

10522032000 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 10522032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536296960).

10522032000 is an abundant number, since it is smaller than the sum of its proper divisors (24550561920).

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

10522032000 is an equidigital number, since it uses as much as digits as its factorization.

10522032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 10522032000 its reverse (23022501), we get a palindrome (10545054501).

The spelling of 10522032000 in words is "ten billion, five hundred twenty-two million, thirty-two thousand".