660513348000 has 864 divisors, whose sum is σ = 2626174199376. Its totient is φ = 157048320000.

The previous prime is 660513347987. The next prime is 660513348007. The reversal of 660513348000 is 843315066.

660513348000 is a `hidden beast` number, since 6 + 60 + 513 + 3 + 4 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 66867753744 + 593645594256 = 258588^2 + 770484^2 .

It is a super-3 number, since 3×660513348000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (660513348007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 230866570 + ... + 230869430.

Almost surely, 2^660513348000 is an apocalyptic number.

660513348000 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 660513348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313087099688).

660513348000 is an abundant number, since it is smaller than the sum of its proper divisors (1965660851376).

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

660513348000 is a wasteful number, since it uses less digits than its factorization.

660513348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 660513348000 in words is "six hundred sixty billion, five hundred thirteen million, three hundred forty-eight thousand".