66553935120 has 800 divisors, whose sum is σ = 257259784320. Its totient is φ = 15869952000.

The previous prime is 66553935109. The next prime is 66553935127. The reversal of 66553935120 is 2153935566.

66553935120 is a `hidden beast` number, since 6 + 6 + 553 + 93 + 5 + 1 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (66553935127) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 265154995 + ... + 265155245.

Almost surely, 2^66553935120 is an apocalyptic number.

66553935120 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 66553935120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128629892160).

66553935120 is an abundant number, since it is smaller than the sum of its proper divisors (190705849200).

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

66553935120 is a wasteful number, since it uses less digits than its factorization.

66553935120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 66553935120 in words is "sixty-six billion, five hundred fifty-three million, nine hundred thirty-five thousand, one hundred twenty".