10095852976128 has 144 divisors (see below), whose sum is σ = 29258210250360. Its totient is φ = 3353796919296.

The previous prime is 10095852976103. The next prime is 10095852976141. The reversal of 10095852976128 is 82167925859001.

10095852976128 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 5 + 8 + 5 + 2 + 9 + 7 + 612 + 8 = 666.

10095852976128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4465875 + ... + 6335277.

Almost surely, 2^{10095852976128} is an apocalyptic number.

10095852976128 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 10095852976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629105125180).

10095852976128 is an abundant number, since it is smaller than the sum of its proper divisors (19162357274232).

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

10095852976128 is a wasteful number, since it uses less digits than its factorization.

10095852976128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869724 (or 1869701 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 10095852976128 in words is "ten trillion, ninety-five billion, eight hundred fifty-two million, nine hundred seventy-six thousand, one hundred twenty-eight".