10129356311008 has 192 divisors, whose sum is σ = 22490554806720. Its totient is φ = 4450310553600.

The previous prime is 10129356310987. The next prime is 10129356311023. The reversal of 10129356311008 is 80011365392101.

10129356311008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2083798498 + ... + 2083803358.

It is an arithmetic number, because the mean of its divisors is an integer number (117138306285).

Almost surely, 2^{10129356311008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10129356311008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11245277403360).

10129356311008 is an abundant number, since it is smaller than the sum of its proper divisors (12361198495712).

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

10129356311008 is a wasteful number, since it uses less digits than its factorization.

10129356311008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 10129356311008 in words is "ten trillion, one hundred twenty-nine billion, three hundred fifty-six million, three hundred eleven thousand, eight".