66020135889600 has 504 divisors, whose sum is σ = 237213338485760. Its totient is φ = 17414072064000.

The previous prime is 66020135889529. The next prime is 66020135889601. The reversal of 66020135889600 is 698853102066.

It is a happy number.

66020135889600 is a `hidden beast` number, since 6 + 6 + 0 + 20 + 1 + 3 + 5 + 8 + 8 + 9 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (66020135889601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 542372745 + ... + 542494455.

Almost surely, 2^{66020135889600} is an apocalyptic number.

66020135889600 is a gapful number since it is divisible by the number (60) 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 66020135889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118606669242880).

66020135889600 is an abundant number, since it is smaller than the sum of its proper divisors (171193202596160).

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

66020135889600 is a wasteful number, since it uses less digits than its factorization.

66020135889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122149 (or 122131 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 66020135889600 in words is "sixty-six trillion, twenty billion, one hundred thirty-five million, eight hundred eighty-nine thousand, six hundred".