8053348220400 has 480 divisors, whose sum is σ = 31063554662400. Its totient is φ = 1743633239040.

The previous prime is 8053348220381. The next prime is 8053348220413. The reversal of 8053348220400 is 40228433508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19697251 + ... + 20101949.

It is an arithmetic number, because the mean of its divisors is an integer number (64715738880).

Almost surely, 2^{8053348220400} is an apocalyptic number.

8053348220400 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 8053348220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15531777331200).

8053348220400 is an abundant number, since it is smaller than the sum of its proper divisors (23010206442000).

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

8053348220400 is a wasteful number, since it uses less digits than its factorization.

8053348220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404853 (or 404842 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 8053348220400 in words is "eight trillion, fifty-three billion, three hundred forty-eight million, two hundred twenty thousand, four hundred".