66214588050 has 480 divisors, whose sum is σ = 205705740240. Its totient is φ = 15688857600.

The previous prime is 66214588021. The next prime is 66214588067. The reversal of 66214588050 is 5088541266.

66214588050 is a `hidden beast` number, since 6 + 6 + 2 + 14 + 588 + 0 + 50 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 25139053809 + 41075534241 = 158553^2 + 202671^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66214587987 and 66214588005.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 170217256 + ... + 170217644.

Almost surely, 2^66214588050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66214588050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102852870120).

66214588050 is an abundant number, since it is smaller than the sum of its proper divisors (139491152190).

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

66214588050 is a wasteful number, since it uses less digits than its factorization.

66214588050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 66214588050 in words is "sixty-six billion, two hundred fourteen million, five hundred eighty-eight thousand, fifty".