53105440003320 has 256 divisors, whose sum is σ = 174519878400000. Its totient is φ = 12867703382016.

The previous prime is 53105440003249. The next prime is 53105440003351. The reversal of 53105440003320 is 2330004450135.

It is a super-3 number, since 3×53105440003320³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 828148779 + ... + 828212901.

It is an arithmetic number, because the mean of its divisors is an integer number (681718275000).

Almost surely, 2^{53105440003320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53105440003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87259939200000).

53105440003320 is an abundant number, since it is smaller than the sum of its proper divisors (121414438396680).

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

53105440003320 is a wasteful number, since it uses less digits than its factorization.

53105440003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78182 (or 78178 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 53105440003320 its reverse (2330004450135), we get a palindrome (55435444453455).

The spelling of 53105440003320 in words is "fifty-three trillion, one hundred five billion, four hundred forty million, three thousand, three hundred twenty".