10384397856 has 384 divisors, whose sum is σ = 36162846720. Its totient is φ = 2836684800.

The previous prime is 10384397813. The next prime is 10384397867. The reversal of 10384397856 is 65879348301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18186051 + ... + 18186621.

It is an arithmetic number, because the mean of its divisors is an integer number (94174080).

Almost surely, 2^10384397856 is an apocalyptic number.

10384397856 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 10384397856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18081423360).

10384397856 is an abundant number, since it is smaller than the sum of its proper divisors (25778448864).

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

10384397856 is a wasteful number, since it uses less digits than its factorization.

10384397856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10384397856 in words is "ten billion, three hundred eighty-four million, three hundred ninety-seven thousand, eight hundred fifty-six".