66085390800000 has 4608 divisors, whose sum is σ = 298211573237760. Its totient is φ = 13824000000000.

The previous prime is 66085390799977. The next prime is 66085390800029. The reversal of 66085390800000 is 809358066.

66085390800000 is a `hidden beast` number, since 6 + 608 + 5 + 39 + 0 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 654310799950 + ... + 654310800050.

It is an arithmetic number, because the mean of its divisors is an integer number (64716053220).

Almost surely, 2^{66085390800000} is an apocalyptic number.

66085390800000 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 66085390800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149105786618880).

66085390800000 is an abundant number, since it is smaller than the sum of its proper divisors (232126182437760).

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

66085390800000 is a wasteful number, since it uses less digits than its factorization.

66085390800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 66085390800000 in words is "sixty-six trillion, eighty-five billion, three hundred ninety million, eight hundred thousand".