66118118400 has 528 divisors, whose sum is σ = 253421875200. Its totient is φ = 16860856320.

The previous prime is 66118118387. The next prime is 66118118413. The reversal of 66118118400 is 481181166.

66118118400 is a `hidden beast` number, since 6 + 61 + 181 + 18 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (66118118387) and next prime (66118118413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15895521 + ... + 15899679.

Almost surely, 2^66118118400 is an apocalyptic number.

66118118400 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 66118118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126710937600).

66118118400 is an abundant number, since it is smaller than the sum of its proper divisors (187303756800).

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

66118118400 is a wasteful number, since it uses less digits than its factorization.

66118118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 66118118400 its reverse (481181166), we get a palindrome (66599299566).

The spelling of 66118118400 in words is "sixty-six billion, one hundred eighteen million, one hundred eighteen thousand, four hundred".