10385280000 has 440 divisors, whose sum is σ = 38496864560. Its totient is φ = 2764800000.

The previous prime is 10385279969. The next prime is 10385280001. The reversal of 10385280000 is 8258301.

It is a happy number.

10385280000 is a `hidden beast` number, since 1 + 0 + 385 + 280 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10385280001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 17279700 + ... + 17280300.

It is an arithmetic number, because the mean of its divisors is an integer number (87492874).

Almost surely, 2^10385280000 is an apocalyptic number.

10385280000 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 10385280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19248432280).

10385280000 is an abundant number, since it is smaller than the sum of its proper divisors (28111584560).

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

10385280000 is an frugal number, since it uses more digits than its factorization.

10385280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10385280000 in words is "ten billion, three hundred eighty-five million, two hundred eighty thousand".