10213141760 has 144 divisors (see below), whose sum is σ = 24878750400. Its totient is φ = 4016652288.

The previous prime is 10213141759. The next prime is 10213141777. The reversal of 10213141760 is 6714131201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24374831 + ... + 24375249.

It is an arithmetic number, because the mean of its divisors is an integer number (172769100).

Almost surely, 2^10213141760 is an apocalyptic number.

10213141760 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 10213141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12439375200).

10213141760 is an abundant number, since it is smaller than the sum of its proper divisors (14665608640).

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

10213141760 is a wasteful number, since it uses less digits than its factorization.

10213141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 10213141760 its reverse (6714131201), we get a palindrome (16927272961).

The spelling of 10213141760 in words is "ten billion, two hundred thirteen million, one hundred forty-one thousand, seven hundred sixty".