58421226600 has 576 divisors, whose sum is σ = 228135398400. Its totient is φ = 13248576000.

The previous prime is 58421226599. The next prime is 58421226623. The reversal of 58421226600 is 662212485.

It is a happy number.

58421226600 is a `hidden beast` number, since 5 + 8 + 4 + 21 + 2 + 26 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 31223665 + ... + 31225535.

It is an arithmetic number, because the mean of its divisors is an integer number (396068400).

Almost surely, 2^58421226600 is an apocalyptic number.

58421226600 is a gapful number since it is divisible by the number (50) 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 58421226600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114067699200).

58421226600 is an abundant number, since it is smaller than the sum of its proper divisors (169714171800).

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

58421226600 is a wasteful number, since it uses less digits than its factorization.

58421226600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 58421226600 in words is "fifty-eight billion, four hundred twenty-one million, two hundred twenty-six thousand, six hundred".