5205876480 has 504 divisors, whose sum is σ = 21393664992. Its totient is φ = 1188421632.

The previous prime is 5205876479. The next prime is 5205876499. The reversal of 5205876480 is 846785025.

5205876480 is a `hidden beast` number, since 5 + 2 + 0 + 587 + 64 + 8 + 0 = 666.

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

It is a super-2 number, since 2×5205876480² = 54202299850034380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531442 + ... + 6532238.

It is an arithmetic number, because the mean of its divisors is an integer number (42447748).

Almost surely, 2^5205876480 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 5205876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10696832496).

5205876480 is an abundant number, since it is smaller than the sum of its proper divisors (16187788512).

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

5205876480 is an frugal number, since it uses more digits than its factorization.

5205876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5205876480 is about 72151.7600616922. The cubic root of 5205876480 is about 1733.1305850954.

The spelling of 5205876480 in words is "five billion, two hundred five million, eight hundred seventy-six thousand, four hundred eighty".