58125681600 has 504 divisors, whose sum is σ = 233528981760. Its totient is φ = 12585646080.

The previous prime is 58125681599. The next prime is 58125681623. The reversal of 58125681600 is 618652185.

It is a super-2 number, since 2×58125681600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4462297 + ... + 4475303.

Almost surely, 2^58125681600 is an apocalyptic number.

58125681600 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 58125681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116764490880).

58125681600 is an abundant number, since it is smaller than the sum of its proper divisors (175403300160).

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

58125681600 is a wasteful number, since it uses less digits than its factorization.

58125681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13065 (or 13043 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 58125681600 in words is "fifty-eight billion, one hundred twenty-five million, six hundred eighty-one thousand, six hundred".