6005753085420 has 1080 divisors, whose sum is σ = 22719655550592. Its totient is φ = 1322427617280.

The previous prime is 6005753085419. The next prime is 6005753085457. The reversal of 6005753085420 is 245803575006.

6005753085420 is a `hidden beast` number, since 6 + 0 + 0 + 5 + 75 + 30 + 8 + 542 + 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 359 ways as a sum of consecutive naturals, for example, 2802496869 + ... + 2802499011.

Almost surely, 2^{6005753085420} is an apocalyptic number.

6005753085420 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 6005753085420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11359827775296).

6005753085420 is an abundant number, since it is smaller than the sum of its proper divisors (16713902465172).

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

6005753085420 is a wasteful number, since it uses less digits than its factorization.

6005753085420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 6005753085420 in words is "six trillion, five billion, seven hundred fifty-three million, eighty-five thousand, four hundred twenty".