6885360518400 has 3888 divisors, whose sum is σ = 33129842054400. Its totient is φ = 1348868505600.

The previous prime is 6885360518381. The next prime is 6885360518437. The reversal of 6885360518400 is 48150635886.

6885360518400 is a `hidden beast` number, since 6 + 8 + 85 + 3 + 6 + 0 + 518 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 34599801501 + ... + 34599801699.

Almost surely, 2^{6885360518400} is an apocalyptic number.

6885360518400 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 6885360518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16564921027200).

6885360518400 is an abundant number, since it is smaller than the sum of its proper divisors (26244481536000).

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

6885360518400 is a wasteful number, since it uses less digits than its factorization.

6885360518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 6885360518400 in words is "six trillion, eight hundred eighty-five billion, three hundred sixty million, five hundred eighteen thousand, four hundred".