5202415680 has 224 divisors, whose sum is σ = 20593751040. Its totient is φ = 1081006080.

The previous prime is 5202415679. The next prime is 5202415693. The reversal of 5202415680 is 865142025.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38731 + ... + 109109.

Almost surely, 2^5202415680 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 5202415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10296875520).

5202415680 is an abundant number, since it is smaller than the sum of its proper divisors (15391335360).

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

5202415680 is a wasteful number, since it uses less digits than its factorization.

5202415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70417 (or 70407 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5202415680 is about 72127.7732915692. The cubic root of 5202415680 is about 1732.7464456216.

The spelling of 5202415680 in words is "five billion, two hundred two million, four hundred fifteen thousand, six hundred eighty".