58478384409480 has 1440 divisors, whose sum is σ = 244421264280600. Its totient is φ = 12488320696320.

The previous prime is 58478384409457. The next prime is 58478384409493. The reversal of 58478384409480 is 8490448387485.

58478384409480 is a `hidden beast` number, since 5 + 8 + 4 + 78 + 38 + 4 + 40 + 9 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45083355363396 + 13395029046084 = 6714414^2 + 3659922^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 58478384409399 and 58478384409408.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4424475832 + ... + 4424489048.

Almost surely, 2^{58478384409480} 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 58478384409480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122210632140300).

58478384409480 is an abundant number, since it is smaller than the sum of its proper divisors (185942879871120).

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

58478384409480 is a wasteful number, since it uses less digits than its factorization.

58478384409480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13345 (or 13294 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 58478384409480 in words is "fifty-eight trillion, four hundred seventy-eight billion, three hundred eighty-four million, four hundred nine thousand, four hundred eighty".