10166111156016 has 200 divisors, whose sum is σ = 30568947346080. Its totient is φ = 3257806777344.

The previous prime is 10166111155969. The next prime is 10166111156023. The reversal of 10166111156016 is 61065111166101.

It is a happy number.

10166111156016 is a `hidden beast` number, since 1 + 0 + 1 + 66 + 11 + 11 + 560 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8176621 + ... + 9337523.

Almost surely, 2^{10166111156016} is an apocalyptic number.

10166111156016 is a gapful number since it is divisible by the number (16) 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 10166111156016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284473673040).

10166111156016 is an abundant number, since it is smaller than the sum of its proper divisors (20402836190064).

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

10166111156016 is a wasteful number, since it uses less digits than its factorization.

10166111156016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161185 (or 1161170 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 10166111156016 in words is "ten trillion, one hundred sixty-six billion, one hundred eleven million, one hundred fifty-six thousand, sixteen".