10351254625000 has 224 divisors, whose sum is σ = 26160415142400. Its totient is φ = 3826872000000.

The previous prime is 10351254624989. The next prime is 10351254625009. The reversal of 10351254625000 is 52645215301.

It is not an unprimeable number, because it can be changed into a prime (10351254625009) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 97321849 + ... + 97428151.

It is an arithmetic number, because the mean of its divisors is an integer number (116787567600).

Almost surely, 2^{10351254625000} is an apocalyptic number.

10351254625000 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 10351254625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080207571200).

10351254625000 is an abundant number, since it is smaller than the sum of its proper divisors (15809160517400).

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

10351254625000 is an equidigital number, since it uses as much as digits as its factorization.

10351254625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106399 (or 106370 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 10351254625000 in words is "ten trillion, three hundred fifty-one billion, two hundred fifty-four million, six hundred twenty-five thousand".