5260878480 has 640 divisors, whose sum is σ = 20734672896. Its totient is φ = 1083801600.

The previous prime is 5260878431. The next prime is 5260878503. The reversal of 5260878480 is 848780625.

It is a super-2 number, since 2×5260878480² = 55353684762654220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41424177 + ... + 41424303.

Almost surely, 2^5260878480 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 5260878480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10367336448).

5260878480 is an abundant number, since it is smaller than the sum of its proper divisors (15473794416).

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

5260878480 is a wasteful number, since it uses less digits than its factorization.

5260878480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 5260878480 is about 72531.9135277707. The cubic root of 5260878480 is about 1739.2129350914.

The spelling of 5260878480 in words is "five billion, two hundred sixty million, eight hundred seventy-eight thousand, four hundred eighty".