21501435041010 has 192 divisors, whose sum is σ = 60555937478400. Its totient is φ = 5273203531776.

The previous prime is 21501435041003. The next prime is 21501435041011. The reversal of 21501435041010 is 1014053410512.

21501435041010 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 143 + 504 + 1 + 0 + 10 = 666.

It is not an unprimeable number, because it can be changed into a prime (21501435041011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14361946 + ... + 15788234.

It is an arithmetic number, because the mean of its divisors is an integer number (315395507700).

Almost surely, 2^{21501435041010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21501435041010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30277968739200).

21501435041010 is an abundant number, since it is smaller than the sum of its proper divisors (39054502437390).

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

21501435041010 is a wasteful number, since it uses less digits than its factorization.

21501435041010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426545 (or 1426542 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 21501435041010 its reverse (1014053410512), we get a palindrome (22515488451522).

The spelling of 21501435041010 in words is "twenty-one trillion, five hundred one billion, four hundred thirty-five million, forty-one thousand, ten".