66825015120 has 480 divisors, whose sum is σ = 242613221760. Its totient is φ = 16904448000.

The previous prime is 66825015011. The next prime is 66825015133. The reversal of 66825015120 is 2151052866.

66825015120 is a `hidden beast` number, since 6 + 6 + 82 + 501 + 51 + 20 = 666.

It is a super-2 number, since 2×66825015120² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266234995 + ... + 266235245.

It is an arithmetic number, because the mean of its divisors is an integer number (505444212).

Almost surely, 2^66825015120 is an apocalyptic number.

66825015120 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 66825015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121306610880).

66825015120 is an abundant number, since it is smaller than the sum of its proper divisors (175788206640).

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

66825015120 is a wasteful number, since it uses less digits than its factorization.

66825015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 66825015120 its reverse (2151052866), we get a palindrome (68976067986).

The spelling of 66825015120 in words is "sixty-six billion, eight hundred twenty-five million, fifteen thousand, one hundred twenty".