6005781353880 has 256 divisors, whose sum is σ = 24959091686400. Its totient is φ = 1247954549760.

The previous prime is 6005781353849. The next prime is 6005781353893. The reversal of 6005781353880 is 883531875006.

6005781353880 is a `hidden beast` number, since 6 + 0 + 0 + 578 + 1 + 35 + 38 + 8 + 0 = 666.

It is a super-2 number, since 2×6005781353880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36026637 + ... + 36192956.

It is an arithmetic number, because the mean of its divisors is an integer number (97496451900).

Almost surely, 2^{6005781353880} is an apocalyptic number.

6005781353880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005781353880 is an abundant number, since it is smaller than the sum of its proper divisors (18953310332520).

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

6005781353880 is a wasteful number, since it uses less digits than its factorization.

6005781353880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72219631 (or 72219621 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 6005781353880 in words is "six trillion, five billion, seven hundred eighty-one million, three hundred fifty-three thousand, eight hundred eighty".