10385665920 has 384 divisors, whose sum is σ = 41243904000. Its totient is φ = 2358964224.

The previous prime is 10385665909. The next prime is 10385665921. The reversal of 10385665920 is 2956658301.

10385665920 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 56 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10385665921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7216561 + ... + 7217999.

It is an arithmetic number, because the mean of its divisors is an integer number (107406000).

Almost surely, 2^10385665920 is an apocalyptic number.

10385665920 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 10385665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20621952000).

10385665920 is an abundant number, since it is smaller than the sum of its proper divisors (30858238080).

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

10385665920 is a wasteful number, since it uses less digits than its factorization.

10385665920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10385665920 in words is "ten billion, three hundred eighty-five million, six hundred sixty-five thousand, nine hundred twenty".