10163121540 has 288 divisors, whose sum is σ = 33896741760. Its totient is φ = 2260008960.

The previous prime is 10163121517. The next prime is 10163121541. The reversal of 10163121540 is 4512136101.

It is a happy number.

10163121540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10163121540.

It is not an unprimeable number, because it can be changed into a prime (10163121541) 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 95 ways as a sum of consecutive naturals, for example, 24255451 + ... + 24255869.

It is an arithmetic number, because the mean of its divisors is an integer number (117697020).

Almost surely, 2^10163121540 is an apocalyptic number.

10163121540 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 10163121540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16948370880).

10163121540 is an abundant number, since it is smaller than the sum of its proper divisors (23733620220).

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

10163121540 is a wasteful number, since it uses less digits than its factorization.

10163121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 10163121540 its reverse (4512136101), we get a palindrome (14675257641).

The spelling of 10163121540 in words is "ten billion, one hundred sixty-three million, one hundred twenty-one thousand, five hundred forty".