66016053792000 has 1728 divisors, whose sum is σ = 268296410491200. Its totient is φ = 15472970956800.

The previous prime is 66016053791969. The next prime is 66016053792023. The reversal of 66016053792000 is 29735061066.

66016053792000 is a `hidden beast` number, since 6 + 6 + 0 + 1 + 605 + 37 + 9 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 63832941160704 + 2183112631296 = 7989552^2 + 1477536^2 .

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 191 ways as a sum of consecutive naturals, for example, 7926043836 + ... + 7926052164.

Almost surely, 2^{66016053792000} is an apocalyptic number.

66016053792000 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 66016053792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134148205245600).

66016053792000 is an abundant number, since it is smaller than the sum of its proper divisors (202280356699200).

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

66016053792000 is a wasteful number, since it uses less digits than its factorization.

66016053792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481 (or 8454 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 66016053792000 in words is "sixty-six trillion, sixteen billion, fifty-three million, seven hundred ninety-two thousand".