166116510510051 has 32 divisors (see below), whose sum is σ = 222304354272000. Its totient is φ = 110337330026880.

The previous prime is 166116510510007. The next prime is 166116510510053. The reversal of 166116510510051 is 150015015611661.

166116510510051 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166116510510051 - 2¹⁴ = 166116510493667 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 166116510509991 and 166116510510009.

It is not an unprimeable number, because it can be changed into a prime (166116510510053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3235022925 + ... + 3235074273.

It is an arithmetic number, because the mean of its divisors is an integer number (6947011071000).

Almost surely, 2^{166116510510051} is an apocalyptic number.

166116510510051 is a deficient number, since it is larger than the sum of its proper divisors (56187843761949).

166116510510051 is a wasteful number, since it uses less digits than its factorization.

166116510510051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55299.

The product of its (nonzero) digits is 27000, while the sum is 39.

The spelling of 166116510510051 in words is "one hundred sixty-six trillion, one hundred sixteen billion, five hundred ten million, five hundred ten thousand, fifty-one".