5211017441280 has 936 divisors, whose sum is σ = 21156345703584. Its totient is φ = 1182892032000.

The previous prime is 5211017441237. The next prime is 5211017441303. The reversal of 5211017441280 is 821447101125.

5211017441280 is a `hidden beast` number, since 52 + 110 + 1 + 7 + 4 + 412 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1363781770 + ... + 1363785590.

It is an arithmetic number, because the mean of its divisors is an integer number (22602933444).

Almost surely, 2^{5211017441280} 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 5211017441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10578172851792).

5211017441280 is an abundant number, since it is smaller than the sum of its proper divisors (15945328262304).

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

5211017441280 is a wasteful number, since it uses less digits than its factorization.

5211017441280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 5211017441280 in words is "five trillion, two hundred eleven billion, seventeen million, four hundred forty-one thousand, two hundred eighty".