66135156652260 has 240 divisors, whose sum is σ = 218460663368640. Its totient is φ = 16702256712960.

The previous prime is 66135156652231. The next prime is 66135156652283. The reversal of 66135156652260 is 6225665153166.

66135156652260 is a `hidden beast` number, since 6 + 6 + 1 + 3 + 5 + 1 + 56 + 6 + 522 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66135156652197 and 66135156652206.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92321782 + ... + 93035378.

It is an arithmetic number, because the mean of its divisors is an integer number (910252764036).

Almost surely, 2^{66135156652260} is an apocalyptic number.

66135156652260 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 66135156652260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109230331684320).

66135156652260 is an abundant number, since it is smaller than the sum of its proper divisors (152325506716380).

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

66135156652260 is a wasteful number, since it uses less digits than its factorization.

66135156652260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716648 (or 716637 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 66135156652260 in words is "sixty-six trillion, one hundred thirty-five billion, one hundred fifty-six million, six hundred fifty-two thousand, two hundred sixty".