6885380505600 has 630 divisors, whose sum is σ = 25602232658660. Its totient is φ = 1836021841920.

The previous prime is 6885380505571. The next prime is 6885380505683. The reversal of 6885380505600 is 65050835886.

6885380505600 is a `hidden beast` number, since 6 + 8 + 8 + 53 + 80 + 505 + 6 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 298586871 + ... + 298609929.

Almost surely, 2^{6885380505600} is an apocalyptic number.

6885380505600 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 6885380505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801116329330).

6885380505600 is an abundant number, since it is smaller than the sum of its proper divisors (18716852153060).

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

6885380505600 is an frugal number, since it uses more digits than its factorization.

6885380505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23115 (or 23069 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 6885380505600 in words is "six trillion, eight hundred eighty-five billion, three hundred eighty million, five hundred five thousand, six hundred".