6855412838400 has 1560 divisors, whose sum is σ = 29448270618624. Its totient is φ = 1543952793600.

The previous prime is 6855412838383. The next prime is 6855412838419. The reversal of 6855412838400 is 48382145586.

6855412838400 is a `hidden beast` number, since 6 + 8 + 5 + 541 + 28 + 38 + 40 + 0 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4122315969 + ... + 4122317631.

Almost surely, 2^{6855412838400} is an apocalyptic number.

6855412838400 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 6855412838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14724135309312).

6855412838400 is an abundant number, since it is smaller than the sum of its proper divisors (22592857780224).

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

6855412838400 is a wasteful number, since it uses less digits than its factorization.

6855412838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 6855412838400 in words is "six trillion, eight hundred fifty-five billion, four hundred twelve million, eight hundred thirty-eight thousand, four hundred".