10385496000 has 1120 divisors, whose sum is σ = 44186148864. Its totient is φ = 2384640000.

The previous prime is 10385495999. The next prime is 10385496029. The reversal of 10385496000 is 69458301.

10385496000 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 5 + 49 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 220967977 + ... + 220968023.

Almost surely, 2^10385496000 is an apocalyptic number.

10385496000 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 10385496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22093074432).

10385496000 is an abundant number, since it is smaller than the sum of its proper divisors (33800652864).

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

10385496000 is a wasteful number, since it uses less digits than its factorization.

10385496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10385496000 in words is "ten billion, three hundred eighty-five million, four hundred ninety-six thousand".