66027150465120 has 2304 divisors, whose sum is σ = 269840587161600. Its totient is φ = 14547714048000.

The previous prime is 66027150465109. The next prime is 66027150465139. The reversal of 66027150465120 is 2156405172066.

66027150465120 is a `hidden beast` number, since 6 + 6 + 0 + 2 + 71 + 504 + 6 + 51 + 20 = 666.

It is a super-2 number, since 2×66027150465120² (a number of 28 digits) contains 22 as substring.

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

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 383 ways as a sum of consecutive naturals, for example, 189189542706 + ... + 189189543054.

It is an arithmetic number, because the mean of its divisors is an integer number (117118310400).

Almost surely, 2^{66027150465120} is an apocalyptic number.

66027150465120 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 66027150465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134920293580800).

66027150465120 is an abundant number, since it is smaller than the sum of its proper divisors (203813436696480).

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

66027150465120 is a wasteful number, since it uses less digits than its factorization.

66027150465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 66027150465120 in words is "sixty-six trillion, twenty-seven billion, one hundred fifty million, four hundred sixty-five thousand, one hundred twenty".