6825109503420 has 192 divisors, whose sum is σ = 22870003443840. Its totient is φ = 1679808761856.

The previous prime is 6825109503413. The next prime is 6825109503437. The reversal of 6825109503420 is 243059015286.

6825109503420 is a `hidden beast` number, since 6 + 8 + 2 + 510 + 95 + 0 + 3 + 42 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57764724 + ... + 57882756.

It is an arithmetic number, because the mean of its divisors is an integer number (119114601270).

Almost surely, 2^{6825109503420} is an apocalyptic number.

6825109503420 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 6825109503420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11435001721920).

6825109503420 is an abundant number, since it is smaller than the sum of its proper divisors (16044893940420).

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

6825109503420 is a wasteful number, since it uses less digits than its factorization.

6825109503420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126301 (or 126293 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 6825109503420 in words is "six trillion, eight hundred twenty-five billion, one hundred nine million, five hundred three thousand, four hundred twenty".