55758480 has 80 divisors (see below), whose sum is σ = 173590080. Its totient is φ = 14805504.

The previous prime is 55758473. The next prime is 55758511. The reversal of 55758480 is 8485755.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90654 + ... + 91266.

It is an arithmetic number, because the mean of its divisors is an integer number (2169876).

Almost surely, 2^55758480 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 55758480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86795040).

55758480 is an abundant number, since it is smaller than the sum of its proper divisors (117831600).

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

55758480 is a wasteful number, since it uses less digits than its factorization.

55758480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The square root of 55758480 is about 7467.1601027432. The cubic root of 55758480 is about 382.0354306839.

The spelling of 55758480 in words is "fifty-five million, seven hundred fifty-eight thousand, four hundred eighty".