66089618733120 has 896 divisors, whose sum is σ = 230215293891072. Its totient is φ = 15997127884800.

The previous prime is 66089618733113. The next prime is 66089618733163. The reversal of 66089618733120 is 2133781698066.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54484433634 + ... + 54484434846.

It is an arithmetic number, because the mean of its divisors is an integer number (256936711932).

Almost surely, 2^{66089618733120} is an apocalyptic number.

66089618733120 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 66089618733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115107646945536).

66089618733120 is an abundant number, since it is smaller than the sum of its proper divisors (164125675157952).

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

66089618733120 is a wasteful number, since it uses less digits than its factorization.

66089618733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 66089618733120 in words is "sixty-six trillion, eighty-nine billion, six hundred eighteen million, seven hundred thirty-three thousand, one hundred twenty".