10001666278968 has 192 divisors, whose sum is σ = 30954977625600. Its totient is φ = 2636819228160.

The previous prime is 10001666278937. The next prime is 10001666278999. The reversal of 10001666278968 is 86987266610001.

It is an interprime number because it is at equal distance from previous prime (10001666278937) and next prime (10001666278999).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77758213 + ... + 77886731.

It is an arithmetic number, because the mean of its divisors is an integer number (161223841800).

Almost surely, 2^{10001666278968} 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 10001666278968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477488812800).

10001666278968 is an abundant number, since it is smaller than the sum of its proper divisors (20953311346632).

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

10001666278968 is a wasteful number, since it uses less digits than its factorization.

10001666278968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131302 (or 131285 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 10001666278968 in words is "ten trillion, one billion, six hundred sixty-six million, two hundred seventy-eight thousand, nine hundred sixty-eight".