10127324957568 has 1536 divisors, whose sum is σ = 37372382208000. Its totient is φ = 2360578277376.

The previous prime is 10127324957539. The next prime is 10127324957621. The reversal of 10127324957568 is 86575942372101.

10127324957568 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 191 ways as a sum of consecutive naturals, for example, 13704092943 + ... + 13704093681.

It is an arithmetic number, because the mean of its divisors is an integer number (24330978000).

It is a 1-persistent number, because it is pandigital, but 2⋅10127324957568 = 20254649915136 is not.

Almost surely, 2^{10127324957568} 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 10127324957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686191104000).

10127324957568 is an abundant number, since it is smaller than the sum of its proper divisors (27245057250432).

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

10127324957568 is a wasteful number, since it uses less digits than its factorization.

10127324957568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 10127324957568 in words is "ten trillion, one hundred twenty-seven billion, three hundred twenty-four million, nine hundred fifty-seven thousand, five hundred sixty-eight".