10253124425104 has 80 divisors (see below), whose sum is σ = 21975091700544. Its totient is φ = 4595235840000.

The previous prime is 10253124425087. The next prime is 10253124425119. The reversal of 10253124425104 is 40152442135201.

It is a self number, because there is not a number n which added to its sum of digits gives 10253124425104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41646112 + ... + 41891584.

Almost surely, 2^{10253124425104} 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 10253124425104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10987545850272).

10253124425104 is an abundant number, since it is smaller than the sum of its proper divisors (11721967275440).

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

10253124425104 is a wasteful number, since it uses less digits than its factorization.

10253124425104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248816 (or 248810 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 10253124425104 in words is "ten trillion, two hundred fifty-three billion, one hundred twenty-four million, four hundred twenty-five thousand, one hundred four".