66023580168000 has 4032 divisors, whose sum is σ = 319265923092480. Its totient is φ = 13188344832000.

The previous prime is 66023580167939. The next prime is 66023580168041. The reversal of 66023580168000 is 86108532066.

66023580168000 is a `hidden beast` number, since 6 + 6 + 0 + 2 + 3 + 580 + 1 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×66023580168000² (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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 43695287245 + ... + 43695288755.

It is an arithmetic number, because the mean of its divisors is an integer number (79183016640).

Almost surely, 2^{66023580168000} is an apocalyptic number.

66023580168000 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 66023580168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159632961546240).

66023580168000 is an abundant number, since it is smaller than the sum of its proper divisors (253242342924480).

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

66023580168000 is a wasteful number, since it uses less digits than its factorization.

66023580168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 66023580168000 in words is "sixty-six trillion, twenty-three billion, five hundred eighty million, one hundred sixty-eight thousand".