10385667936 has 192 divisors, whose sum is σ = 35555304960. Its totient is φ = 2887073280.

The previous prime is 10385667869. The next prime is 10385667937. The reversal of 10385667936 is 63976658301.

10385667936 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 566 + 79 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10385667937) 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, 200571 + ... + 246981.

It is an arithmetic number, because the mean of its divisors is an integer number (185183880).

Almost surely, 2^10385667936 is an apocalyptic number.

10385667936 is a gapful number since it is divisible by the number (16) 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 10385667936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777652480).

10385667936 is an abundant number, since it is smaller than the sum of its proper divisors (25169637024).

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

10385667936 is a wasteful number, since it uses less digits than its factorization.

10385667936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46474 (or 46460 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 10385667936 in words is "ten billion, three hundred eighty-five million, six hundred sixty-seven thousand, nine hundred thirty-six".