166526260503264 has 144 divisors (see below), whose sum is σ = 488874595547520. Its totient is φ = 53713814077440.

The previous prime is 166526260503241. The next prime is 166526260503271. The reversal of 166526260503264 is 462305062625661.

166526260503264 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 2 + 6 + 2 + 605 + 0 + 3 + 26 + 4 = 666.

166526260503264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 166526260503264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110826952 + ... + 112319480.

It is an arithmetic number, because the mean of its divisors is an integer number (3394962469080).

Almost surely, 2^{166526260503264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166526260503264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244437297773760).

166526260503264 is an abundant number, since it is smaller than the sum of its proper divisors (322348335044256).

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

166526260503264 is a wasteful number, since it uses less digits than its factorization.

166526260503264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505073 (or 1505062 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 166526260503264 in words is "one hundred sixty-six trillion, five hundred twenty-six billion, two hundred sixty million, five hundred three thousand, two hundred sixty-four".