10253606022352 has 320 divisors, whose sum is σ = 26179412410368. Its totient is φ = 3774532608000.

The previous prime is 10253606022287. The next prime is 10253606022461. The reversal of 10253606022352 is 25322060635201.

It is a super-2 number, since 2×10253606022352² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289133902 + ... + 289169362.

Almost surely, 2^{10253606022352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10253606022352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089706205184).

10253606022352 is an abundant number, since it is smaller than the sum of its proper divisors (15925806388016).

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

10253606022352 is a wasteful number, since it uses less digits than its factorization.

10253606022352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35698 (or 35692 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 10253606022352 its reverse (25322060635201), we get a palindrome (35575666657553).

The spelling of 10253606022352 in words is "ten trillion, two hundred fifty-three billion, six hundred six million, twenty-two thousand, three hundred fifty-two".