66825179008560 has 540 divisors, whose sum is σ = 269754555567744. Its totient is φ = 14781598917120.

The previous prime is 66825179008543. The next prime is 66825179008561. The reversal of 66825179008560 is 6580097152866.

66825179008560 is a `hidden beast` number, since 6 + 68 + 2 + 5 + 1 + 7 + 9 + 0 + 0 + 8 + 560 = 666.

66825179008560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (66825179008561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32918577 + ... + 34889583.

Almost surely, 2^{66825179008560} is an apocalyptic number.

66825179008560 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 66825179008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134877277783872).

66825179008560 is an abundant number, since it is smaller than the sum of its proper divisors (202929376559184).

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

66825179008560 is a wasteful number, since it uses less digits than its factorization.

66825179008560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971102 (or 1971055 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 66825179008560 in words is "sixty-six trillion, eight hundred twenty-five billion, one hundred seventy-nine million, eight thousand, five hundred sixty".