58280553450 has 720 divisors, whose sum is σ = 204810016320. Its totient is φ = 11806663680.

The previous prime is 58280553439. The next prime is 58280553473. The reversal of 58280553450 is 5435508285.

58280553450 is a `hidden beast` number, since 58 + 2 + 8 + 0 + 553 + 45 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 58280553396 and 58280553405.

It is a congruent number.

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, 348985267 + ... + 348985433.

It is an arithmetic number, because the mean of its divisors is an integer number (284458356).

Almost surely, 2^58280553450 is an apocalyptic number.

58280553450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58280553450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102405008160).

58280553450 is an abundant number, since it is smaller than the sum of its proper divisors (146529462870).

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

58280553450 is a wasteful number, since it uses less digits than its factorization.

58280553450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 58280553450 in words is "fifty-eight billion, two hundred eighty million, five hundred fifty-three thousand, four hundred fifty".