10253236013064 has 192 divisors, whose sum is σ = 30497339134080. Its totient is φ = 3086164224000.

The previous prime is 10253236013039. The next prime is 10253236013089. The reversal of 10253236013064 is 46031063235201.

10253236013064 is a `hidden beast` number, since 1 + 0 + 2 + 532 + 3 + 60 + 1 + 3 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (10253236013039) and next prime (10253236013089).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396768784 + ... + 396794624.

It is an arithmetic number, because the mean of its divisors is an integer number (158840307990).

Almost surely, 2^{10253236013064} 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 10253236013064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15248669567040).

10253236013064 is an abundant number, since it is smaller than the sum of its proper divisors (20244103121016).

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

10253236013064 is a wasteful number, since it uses less digits than its factorization.

10253236013064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29212 (or 29205 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 10253236013064 its reverse (46031063235201), we get a palindrome (56284299248265).

The spelling of 10253236013064 in words is "ten trillion, two hundred fifty-three billion, two hundred thirty-six million, thirteen thousand, sixty-four".