10385264500 has 96 divisors (see below), whose sum is σ = 24536322720. Its totient is φ = 3817267200.

The previous prime is 10385264489. The next prime is 10385264503. The reversal of 10385264500 is 546258301.

It can be written as a sum of positive squares in 16 ways, for example, as 8210534544 + 2174729956 = 90612^2 + 46634^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10385264503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485012 + ... + 1491988.

It is an arithmetic number, because the mean of its divisors is an integer number (255586695).

Almost surely, 2^10385264500 is an apocalyptic number.

10385264500 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 10385264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12268161360).

10385264500 is an abundant number, since it is smaller than the sum of its proper divisors (14151058220).

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

10385264500 is a wasteful number, since it uses less digits than its factorization.

10385264500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 10385264500 in words is "ten billion, three hundred eighty-five million, two hundred sixty-four thousand, five hundred".