10129933497750 has 256 divisors, whose sum is σ = 27761951093760. Its totient is φ = 2439824640000.

The previous prime is 10129933497743. The next prime is 10129933497757. The reversal of 10129933497750 is 5779433992101.

It is an interprime number because it is at equal distance from previous prime (10129933497743) and next prime (10129933497757).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129933497757) 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 127 ways as a sum of consecutive naturals, for example, 2145715390 + ... + 2145720110.

It is an arithmetic number, because the mean of its divisors is an integer number (108445121460).

Almost surely, 2^{10129933497750} is an apocalyptic number.

10129933497750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10129933497750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880975546880).

10129933497750 is an abundant number, since it is smaller than the sum of its proper divisors (17632017596010).

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

10129933497750 is a wasteful number, since it uses less digits than its factorization.

10129933497750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 60.

The spelling of 10129933497750 in words is "ten trillion, one hundred twenty-nine billion, nine hundred thirty-three million, four hundred ninety-seven thousand, seven hundred fifty".