5262458880 has 720 divisors, whose sum is σ = 21516122880. Its totient is φ = 1089994752.

The previous prime is 5262458867. The next prime is 5262458891. The reversal of 5262458880 is 888542625.

It is a happy number.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 228802549 + ... + 228802571.

It is an arithmetic number, because the mean of its divisors is an integer number (29883504).

Almost surely, 2^5262458880 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 5262458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10758061440).

5262458880 is an abundant number, since it is smaller than the sum of its proper divisors (16253664000).

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

5262458880 is a wasteful number, since it uses less digits than its factorization.

5262458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 5262458880 is about 72542.8072244244. The cubic root of 5262458880 is about 1739.3870743815.

The spelling of 5262458880 in words is "five billion, two hundred sixty-two million, four hundred fifty-eight thousand, eight hundred eighty".