10775232000 has 480 divisors, whose sum is σ = 41824823040. Its totient is φ = 2650521600.

The previous prime is 10775231989. The next prime is 10775232011. The reversal of 10775232000 is 23257701.

It is an interprime number because it is at equal distance from previous prime (10775231989) and next prime (10775232011).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10775232000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7487281 + ... + 7488719.

It is an arithmetic number, because the mean of its divisors is an integer number (87135048).

Almost surely, 2^10775232000 is an apocalyptic number.

10775232000 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 10775232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20912411520).

10775232000 is an abundant number, since it is smaller than the sum of its proper divisors (31049591040).

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

10775232000 is a wasteful number, since it uses less digits than its factorization.

10775232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

Adding to 10775232000 its reverse (23257701), we get a palindrome (10798489701).

The spelling of 10775232000 in words is "ten billion, seven hundred seventy-five million, two hundred thirty-two thousand".