10126885288608 has 1728 divisors, whose sum is σ = 36025299483264. Its totient is φ = 2785325875200.

The previous prime is 10126885288439. The next prime is 10126885288627. The reversal of 10126885288608 is 80688258862101.

10126885288608 is a `hidden beast` number, since 1 + 0 + 1 + 26 + 8 + 8 + 528 + 86 + 0 + 8 = 666.

10126885288608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 94643787691 + ... + 94643787797.

It is an arithmetic number, because the mean of its divisors is an integer number (20847974238).

Almost surely, 2^{10126885288608} is an apocalyptic number.

10126885288608 is a gapful number since it is divisible by the number (18) 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 10126885288608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012649741632).

10126885288608 is an abundant number, since it is smaller than the sum of its proper divisors (25898414194656).

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

10126885288608 is a wasteful number, since it uses less digits than its factorization.

10126885288608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 63.

The spelling of 10126885288608 in words is "ten trillion, one hundred twenty-six billion, eight hundred eighty-five million, two hundred eighty-eight thousand, six hundred eight".