10245625435032 has 128 divisors (see below), whose sum is σ = 28006280064000. Its totient is φ = 3104388564480.

The previous prime is 10245625434949. The next prime is 10245625435099. The reversal of 10245625435032 is 23053452654201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18309894 + ... + 18861162.

It is an arithmetic number, because the mean of its divisors is an integer number (218799063000).

Almost surely, 2^{10245625435032} is an apocalyptic number.

10245625435032 is a gapful number since it is divisible by the number (12) 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 10245625435032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14003140032000).

10245625435032 is an abundant number, since it is smaller than the sum of its proper divisors (17760654628968).

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

10245625435032 is a wasteful number, since it uses less digits than its factorization.

10245625435032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552201 (or 552197 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 10245625435032 in words is "ten trillion, two hundred forty-five billion, six hundred twenty-five million, four hundred thirty-five thousand, thirty-two".