10153635640 has 32 divisors (see below), whose sum is σ = 22895278560. Its totient is φ = 4052636800.

The previous prime is 10153635589. The next prime is 10153635641. The reversal of 10153635640 is 4653635101.

10153635640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10153635596 and 10153635605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153635641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256876 + ... + 293755.

It is an arithmetic number, because the mean of its divisors is an integer number (715477455).

Almost surely, 2^10153635640 is an apocalyptic number.

10153635640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10153635640 is an abundant number, since it is smaller than the sum of its proper divisors (12741642920).

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

10153635640 is a wasteful number, since it uses less digits than its factorization.

10153635640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551103 (or 551099 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 10153635640 in words is "ten billion, one hundred fifty-three million, six hundred thirty-five thousand, six hundred forty".