5758416480 has 48 divisors (see below), whose sum is σ = 18139013424. Its totient is φ = 1535577600.

The previous prime is 5758416427. The next prime is 5758416491. The reversal of 5758416480 is 846148575.

It is a tau number, because it is divible by the number of its divisors (48).

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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5997871 + ... + 5998830.

It is an arithmetic number, because the mean of its divisors is an integer number (377896113).

Almost surely, 2^5758416480 is an apocalyptic number.

It is an amenable number.

5758416480 is an abundant number, since it is smaller than the sum of its proper divisors (12380596944).

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

5758416480 is a wasteful number, since it uses less digits than its factorization.

5758416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11996719 (or 11996711 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The square root of 5758416480 is about 75884.2307729346. The cubic root of 5758416480 is about 1792.3976151865.

The spelling of 5758416480 in words is "five billion, seven hundred fifty-eight million, four hundred sixteen thousand, four hundred eighty".