58125600 has 432 divisors, whose sum is σ = 238859712. Its totient is φ = 13685760.

The previous prime is 58125583. The next prime is 58125607. The reversal of 58125600 is 652185.

58125600 is a `hidden beast` number, since 58 + 1 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58125607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2527189 + ... + 2527211.

It is an arithmetic number, because the mean of its divisors is an integer number (552916).

Almost surely, 2^58125600 is an apocalyptic number.

58125600 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 58125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119429856).

58125600 is an abundant number, since it is smaller than the sum of its proper divisors (180734112).

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

58125600 is a wasteful number, since it uses less digits than its factorization.

58125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 58125600 is about 7624.0146904371. The cubic root of 58125600 is about 387.3668776159.

Adding to 58125600 its reverse (652185), we get a palindrome (58777785).

The spelling of 58125600 in words is "fifty-eight million, one hundred twenty-five thousand, six hundred".