10138255796928 has 224 divisors, whose sum is σ = 31105026293760. Its totient is φ = 2854276346880.

The previous prime is 10138255796843. The next prime is 10138255796971. The reversal of 10138255796928 is 82969755283101.

It is a tau number, because it is divible by the number of its divisors (224).

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, 179273425 + ... + 179329967.

Almost surely, 2^{10138255796928} 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 10138255796928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552513146880).

10138255796928 is an abundant number, since it is smaller than the sum of its proper divisors (20966770496832).

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

10138255796928 is a wasteful number, since it uses less digits than its factorization.

10138255796928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58515 (or 58505 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 66.

The spelling of 10138255796928 in words is "ten trillion, one hundred thirty-eight billion, two hundred fifty-five million, seven hundred ninety-six thousand, nine hundred twenty-eight".