5003208221760 has 504 divisors, whose sum is σ = 20708889041880. Its totient is φ = 1104155394048.

The previous prime is 5003208221717. The next prime is 5003208221771. The reversal of 5003208221760 is 671228023005.

5003208221760 is a `hidden beast` number, since 50 + 0 + 320 + 8 + 221 + 7 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1936394703936 + 3066813517824 = 1391544^2 + 1751232^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×5003208221760² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3481212 + ... + 4703748.

Almost surely, 2^{5003208221760} 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 5003208221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10354444520940).

5003208221760 is an abundant number, since it is smaller than the sum of its proper divisors (15705680820120).

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

5003208221760 is a wasteful number, since it uses less digits than its factorization.

5003208221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222603 (or 1222583 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 5003208221760 in words is "five trillion, three billion, two hundred eight million, two hundred twenty-one thousand, seven hundred sixty".