58400057100 has 324 divisors, whose sum is σ = 216057832872. Its totient is φ = 12134707200.

The previous prime is 58400057099. The next prime is 58400057119. The reversal of 58400057100 is 175000485.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 107 ways as a sum of consecutive naturals, for example, 1762284 + ... + 1795116.

Almost surely, 2^58400057100 is an apocalyptic number.

58400057100 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 58400057100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108028916436).

58400057100 is an abundant number, since it is smaller than the sum of its proper divisors (157657775772).

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

58400057100 is a wasteful number, since it uses less digits than its factorization.

58400057100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32886 (or 32861 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

Adding to 58400057100 its reverse (175000485), we get a palindrome (58575057585).

The spelling of 58400057100 in words is "fifty-eight billion, four hundred million, fifty-seven thousand, one hundred".