166010005100610 has 448 divisors, whose sum is σ = 493834184282880. Its totient is φ = 39828437475840.

The previous prime is 166010005100603. The next prime is 166010005100663. The reversal of 166010005100610 is 16001500010661.

166010005100610 is a `hidden beast` number, since 1 + 6 + 601 + 0 + 0 + 0 + 51 + 0 + 0 + 6 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3066679104 + ... + 3066733236.

It is an arithmetic number, because the mean of its divisors is an integer number (1102308447060).

Almost surely, 2^{166010005100610} is an apocalyptic number.

166010005100610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166010005100610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246917092141440).

166010005100610 is an abundant number, since it is smaller than the sum of its proper divisors (327824179182270).

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

166010005100610 is a wasteful number, since it uses less digits than its factorization.

166010005100610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54565 (or 54550 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 166010005100610 in words is "one hundred sixty-six trillion, ten billion, five million, one hundred thousand, six hundred ten".