10295129559904 has 72 divisors (see below), whose sum is σ = 23585449299048. Its totient is φ = 4410745436160.

The previous prime is 10295129559901. The next prime is 10295129559919. The reversal of 10295129559904 is 40995592159201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10295129559901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3688747 + ... + 5847829.

It is an arithmetic number, because the mean of its divisors is an integer number (327575684709).

Almost surely, 2^{10295129559904} is an apocalyptic number.

10295129559904 is a gapful number since it is divisible by the number (14) 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 10295129559904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11792724649524).

10295129559904 is an abundant number, since it is smaller than the sum of its proper divisors (13290319739144).

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

10295129559904 is a wasteful number, since it uses less digits than its factorization.

10295129559904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162148 (or 2162133 counting only the distinct ones).

The product of its (nonzero) digits is 13122000, while the sum is 61.

The spelling of 10295129559904 in words is "ten trillion, two hundred ninety-five billion, one hundred twenty-nine million, five hundred fifty-nine thousand, nine hundred four".