6885758580120 has 1024 divisors, whose sum is σ = 28809835315200. Its totient is φ = 1426553856000.

The previous prime is 6885758580101. The next prime is 6885758580121. The reversal of 6885758580120 is 210858575886.

6885758580120 is a `hidden beast` number, since 6 + 8 + 8 + 575 + 8 + 58 + 0 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6885758580121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 840645225 + ... + 840653415.

It is an arithmetic number, because the mean of its divisors is an integer number (28134604800).

Almost surely, 2^{6885758580120} is an apocalyptic number.

6885758580120 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 6885758580120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14404917657600).

6885758580120 is an abundant number, since it is smaller than the sum of its proper divisors (21924076735080).

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

6885758580120 is a wasteful number, since it uses less digits than its factorization.

6885758580120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8477 (or 8467 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 63.

The spelling of 6885758580120 in words is "six trillion, eight hundred eighty-five billion, seven hundred fifty-eight million, five hundred eighty thousand, one hundred twenty".