10115954875104 has 384 divisors, whose sum is σ = 29783376000000. Its totient is φ = 2984984690688.

The previous prime is 10115954875063. The next prime is 10115954875139. The reversal of 10115954875104 is 40157845951101.

10115954875104 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 63 ways as a sum of consecutive naturals, for example, 6748468147 + ... + 6748469645.

It is an arithmetic number, because the mean of its divisors is an integer number (77560875000).

Almost surely, 2^{10115954875104} 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 10115954875104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14891688000000).

10115954875104 is an abundant number, since it is smaller than the sum of its proper divisors (19667421124896).

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

10115954875104 is a wasteful number, since it uses less digits than its factorization.

10115954875104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 51.

The spelling of 10115954875104 in words is "ten trillion, one hundred fifteen billion, nine hundred fifty-four million, eight hundred seventy-five thousand, one hundred four".