10354065840 has 160 divisors (see below), whose sum is σ = 35719588800. Its totient is φ = 2756782080.

The previous prime is 10354065817. The next prime is 10354065877. The reversal of 10354065840 is 4856045301.

It is a happy number.

10354065840 is a `hidden beast` number, since 1 + 0 + 35 + 40 + 6 + 584 + 0 = 666.

It is a super-3 number, since 3×10354065840³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10354065795 and 10354065804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1528060 + ... + 1534820.

It is an arithmetic number, because the mean of its divisors is an integer number (223247430).

Almost surely, 2^10354065840 is an apocalyptic number.

10354065840 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 10354065840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859794400).

10354065840 is an abundant number, since it is smaller than the sum of its proper divisors (25365522960).

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

10354065840 is a wasteful number, since it uses less digits than its factorization.

10354065840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7492 (or 7480 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10354065840 in words is "ten billion, three hundred fifty-four million, sixty-five thousand, eight hundred forty".