5261148480 has 224 divisors, whose sum is σ = 19195084800. Its totient is φ = 1195960320.

The previous prime is 5261148467. The next prime is 5261148523. The reversal of 5261148480 is 848411625.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1281471 + ... + 1285569.

Almost surely, 2^5261148480 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 5261148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9597542400).

5261148480 is an abundant number, since it is smaller than the sum of its proper divisors (13933936320).

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

5261148480 is a wasteful number, since it uses less digits than its factorization.

5261148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 5261148480 is about 72533.7747535588. The cubic root of 5261148480 is about 1739.2426880095.

The spelling of 5261148480 in words is "five billion, two hundred sixty-one million, one hundred forty-eight thousand, four hundred eighty".