66056373795600 has 2880 divisors, whose sum is σ = 277858775900160. Its totient is φ = 14957988249600.

The previous prime is 66056373795551. The next prime is 66056373795613. The reversal of 66056373795600 is 659737365066.

It is a happy number.

66056373795600 is a `hidden beast` number, since 6 + 6 + 0 + 5 + 6 + 37 + 37 + 9 + 560 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 65208660694 + ... + 65208661706.

It is an arithmetic number, because the mean of its divisors is an integer number (96478741632).

Almost surely, 2^{66056373795600} is an apocalyptic number.

66056373795600 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 66056373795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138929387950080).

66056373795600 is an abundant number, since it is smaller than the sum of its proper divisors (211802402104560).

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

66056373795600 is a wasteful number, since it uses less digits than its factorization.

66056373795600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 128595600, while the sum is 63.

The spelling of 66056373795600 in words is "sixty-six trillion, fifty-six billion, three hundred seventy-three million, seven hundred ninety-five thousand, six hundred".