10745821920 has 144 divisors (see below), whose sum is σ = 34327549872. Its totient is φ = 2825625600.

The previous prime is 10745821901. The next prime is 10745821939. The reversal of 10745821920 is 2912854701.

It is an interprime number because it is at equal distance from previous prime (10745821901) and next prime (10745821939).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2555820 + ... + 2560020.

It is an arithmetic number, because the mean of its divisors is an integer number (238385763).

Almost surely, 2^10745821920 is an apocalyptic number.

10745821920 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 10745821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17163774936).

10745821920 is an abundant number, since it is smaller than the sum of its proper divisors (23581727952).

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

10745821920 is an equidigital number, since it uses as much as digits as its factorization.

10745821920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 10745821920 in words is "ten billion, seven hundred forty-five million, eight hundred twenty-one thousand, nine hundred twenty".