60005083320 has 768 divisors, whose sum is σ = 254741760000. Its totient is φ = 11895164928.

The previous prime is 60005083309. The next prime is 60005083373. The reversal of 60005083320 is 2338050006.

60005083320 is a `hidden beast` number, since 600 + 0 + 5 + 0 + 8 + 33 + 20 = 666.

It is a super-2 number, since 2×60005083320² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 92743237 + ... + 92743883.

It is an arithmetic number, because the mean of its divisors is an integer number (331695000).

Almost surely, 2^60005083320 is an apocalyptic number.

60005083320 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 60005083320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880000).

60005083320 is an abundant number, since it is smaller than the sum of its proper divisors (194736676680).

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

60005083320 is a wasteful number, since it uses less digits than its factorization.

60005083320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 60005083320 in words is "sixty billion, five million, eighty-three thousand, three hundred twenty".