10052262660 has 192 divisors, whose sum is σ = 31248322560. Its totient is φ = 2394209280.

The previous prime is 10052262659. The next prime is 10052262667. The reversal of 10052262660 is 6626225001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10052262667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9674421 + ... + 9675459.

It is an arithmetic number, because the mean of its divisors is an integer number (162751680).

Almost surely, 2^10052262660 is an apocalyptic number.

10052262660 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 10052262660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624161280).

10052262660 is an abundant number, since it is smaller than the sum of its proper divisors (21196059900).

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

10052262660 is a wasteful number, since it uses less digits than its factorization.

10052262660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10052262660 its reverse (6626225001), we get a palindrome (16678487661).

The spelling of 10052262660 in words is "ten billion, fifty-two million, two hundred sixty-two thousand, six hundred sixty".