8355048099840 has 832 divisors, whose sum is σ = 33020827822080. Its totient is φ = 1990231326720.

The previous prime is 8355048099823. The next prime is 8355048099943. The reversal of 8355048099840 is 489908405538.

8355048099840 is a `hidden beast` number, since 8 + 3 + 5 + 504 + 80 + 9 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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, 222824134 + ... + 222861626.

Almost surely, 2^{8355048099840} is an apocalyptic number.

8355048099840 is a gapful number since it is divisible by the number (80) 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 8355048099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510413911040).

8355048099840 is an abundant number, since it is smaller than the sum of its proper divisors (24665779722240).

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

8355048099840 is a wasteful number, since it uses less digits than its factorization.

8355048099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37575 (or 37547 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 8355048099840 in words is "eight trillion, three hundred fifty-five billion, forty-eight million, ninety-nine thousand, eight hundred forty".