6854011931520 has 2048 divisors, whose sum is σ = 28759691520000. Its totient is φ = 1527868293120.

The previous prime is 6854011931509. The next prime is 6854011931527. The reversal of 6854011931520 is 251391104586.

It is a happy number.

6854011931520 is a `hidden beast` number, since 6 + 8 + 5 + 4 + 0 + 119 + 3 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6854011931527) 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, 9274711311 + ... + 9274712049.

It is an arithmetic number, because the mean of its divisors is an integer number (14042818125).

Almost surely, 2^{6854011931520} is an apocalyptic number.

6854011931520 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 6854011931520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14379845760000).

6854011931520 is an abundant number, since it is smaller than the sum of its proper divisors (21905679588480).

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

6854011931520 is a wasteful number, since it uses less digits than its factorization.

6854011931520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 6854011931520 in words is "six trillion, eight hundred fifty-four billion, eleven million, nine hundred thirty-one thousand, five hundred twenty".