10052261340 has 144 divisors (see below), whose sum is σ = 31246296480. Its totient is φ = 2412608000.

The previous prime is 10052261321. The next prime is 10052261357. The reversal of 10052261340 is 4316225001.

It is a self number, because there is not a number n which added to its sum of digits gives 10052261340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726406 + ... + 740114.

It is an arithmetic number, because the mean of its divisors is an integer number (216988170).

Almost surely, 2^10052261340 is an apocalyptic number.

10052261340 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 10052261340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15623148240).

10052261340 is an abundant number, since it is smaller than the sum of its proper divisors (21194035140).

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

10052261340 is a wasteful number, since it uses less digits than its factorization.

10052261340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13844 (or 13831 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10052261340 its reverse (4316225001), we get a palindrome (14368486341).

The spelling of 10052261340 in words is "ten billion, fifty-two million, two hundred sixty-one thousand, three hundred forty".