66160552118400 has 192 divisors, whose sum is σ = 242129243138400. Its totient is φ = 17642813875200.

The previous prime is 66160552118389. The next prime is 66160552118431. The reversal of 66160552118400 is 481125506166.

66160552118400 is a `hidden beast` number, since 6 + 6 + 1 + 6 + 0 + 552 + 11 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×66160552118400² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382787166 + ... + 382959965.

Almost surely, 2^{66160552118400} is an apocalyptic number.

66160552118400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66160552118400 is an abundant number, since it is smaller than the sum of its proper divisors (175968691020000).

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

66160552118400 is a wasteful number, since it uses less digits than its factorization.

66160552118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765747164 (or 765747141 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 66160552118400 in words is "sixty-six trillion, one hundred sixty billion, five hundred fifty-two million, one hundred eighteen thousand, four hundred".