10253122560 has 616 divisors, whose sum is σ = 38339589456. Its totient is φ = 2627665920.

The previous prime is 10253122553. The next prime is 10253122619. The reversal of 10253122560 is 6522135201.

It is a happy number.

10253122560 is a `hidden beast` number, since 102 + 531 + 2 + 25 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 153031647 + ... + 153031713.

Almost surely, 2^10253122560 is an apocalyptic number.

10253122560 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 10253122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19169794728).

10253122560 is an abundant number, since it is smaller than the sum of its proper divisors (28086466896).

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

10253122560 is an frugal number, since it uses more digits than its factorization.

10253122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10253122560 its reverse (6522135201), we get a palindrome (16775257761).

The spelling of 10253122560 in words is "ten billion, two hundred fifty-three million, one hundred twenty-two thousand, five hundred sixty".