10125943296 has 480 divisors, whose sum is σ = 33829709760. Its totient is φ = 2675441664.

The previous prime is 10125943283. The next prime is 10125943301. The reversal of 10125943296 is 69234952101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104391120 + ... + 104391216.

It is an arithmetic number, because the mean of its divisors is an integer number (70478562).

Almost surely, 2^10125943296 is an apocalyptic number.

10125943296 is a gapful number since it is divisible by the number (16) 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 10125943296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16914854880).

10125943296 is an abundant number, since it is smaller than the sum of its proper divisors (23703766464).

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

10125943296 is an equidigital number, since it uses as much as digits as its factorization.

10125943296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 10125943296 in words is "ten billion, one hundred twenty-five million, nine hundred forty-three thousand, two hundred ninety-six".