2166525294528 has 448 divisors, whose sum is σ = 7340181700608. Its totient is φ = 549406556160.

The previous prime is 2166525294517. The next prime is 2166525294529. The reversal of 2166525294528 is 8254925256612.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166525294529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37281751 + ... + 37339817.

Almost surely, 2^{2166525294528} is an apocalyptic number.

2166525294528 is a gapful number since it is divisible by the number (28) 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 2166525294528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670090850304).

2166525294528 is an abundant number, since it is smaller than the sum of its proper divisors (5173656406080).

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

2166525294528 is a wasteful number, since it uses less digits than its factorization.

2166525294528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58200 (or 58190 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 57.

The spelling of 2166525294528 in words is "two trillion, one hundred sixty-six billion, five hundred twenty-five million, two hundred ninety-four thousand, five hundred twenty-eight".