166517437273740 has 480 divisors, whose sum is σ = 605662402802688. Its totient is φ = 37509054912000.

The previous prime is 166517437273739. The next prime is 166517437273741. The reversal of 166517437273740 is 47372734715661.

166517437273740 is a `hidden beast` number, since 1 + 6 + 6 + 517 + 4 + 3 + 7 + 2 + 73 + 7 + 40 = 666.

166517437273740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166517437273739) and next prime (166517437273741).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (166517437273741) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1941149650 + ... + 1941235430.

Almost surely, 2^{166517437273740} is an apocalyptic number.

166517437273740 is a gapful number since it is divisible by the number (10) 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 166517437273740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302831201401344).

166517437273740 is an abundant number, since it is smaller than the sum of its proper divisors (439144965528948).

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

166517437273740 is a wasteful number, since it uses less digits than its factorization.

166517437273740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88291 (or 88280 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 63.

The spelling of 166517437273740 in words is "one hundred sixty-six trillion, five hundred seventeen billion, four hundred thirty-seven million, two hundred seventy-three thousand, seven hundred forty".