13820058000 has 600 divisors, whose sum is σ = 58102479864. Its totient is φ = 3157056000.

The previous prime is 13820057963. The next prime is 13820058029. The reversal of 13820058000 is 85002831.

13820058000 = 583³ + 584³ + ... + 642³.

It is a happy number.

13820058000 is a `hidden beast` number, since 1 + 3 + 82 + 0 + 0 + 580 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4259911824 + 9560146176 = 65268^2 + 97776^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7937130 + ... + 7938870.

Almost surely, 2^13820058000 is an apocalyptic number.

13820058000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13820058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29051239932).

13820058000 is an abundant number, since it is smaller than the sum of its proper divisors (44282421864).

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

13820058000 is a wasteful number, since it uses less digits than its factorization.

13820058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 13820058000 in words is "thirteen billion, eight hundred twenty million, fifty-eight thousand".