10166066155056 has 320 divisors, whose sum is σ = 31677022540800. Its totient is φ = 2744480268288.

The previous prime is 10166066154991. The next prime is 10166066155081. The reversal of 10166066155056 is 65055166066101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10166066154996 and 10166066155014.

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, 6318250380 + ... + 6318251988.

It is an arithmetic number, because the mean of its divisors is an integer number (98990695440).

Almost surely, 2^{10166066155056} is an apocalyptic number.

10166066155056 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 10166066155056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15838511270400).

10166066155056 is an abundant number, since it is smaller than the sum of its proper divisors (21510956385744).

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

10166066155056 is a wasteful number, since it uses less digits than its factorization.

10166066155056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 10166066155056 in words is "ten trillion, one hundred sixty-six billion, sixty-six million, one hundred fifty-five thousand, fifty-six".