10305003521640 has 128 divisors (see below), whose sum is σ = 32222098022400. Its totient is φ = 2633536661760.

The previous prime is 10305003521639. The next prime is 10305003521677. The reversal of 10305003521640 is 4612530050301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10305003521598 and 10305003521607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13064230 + ... + 13830549.

It is an arithmetic number, because the mean of its divisors is an integer number (251735140800).

Almost surely, 2^{10305003521640} is an apocalyptic number.

10305003521640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10305003521640 is an abundant number, since it is smaller than the sum of its proper divisors (21917094500760).

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

10305003521640 is a wasteful number, since it uses less digits than its factorization.

10305003521640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26894927 (or 26894923 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 10305003521640 its reverse (4612530050301), we get a palindrome (14917533571941).

The spelling of 10305003521640 in words is "ten trillion, three hundred five billion, three million, five hundred twenty-one thousand, six hundred forty".