58078425600 has 1200 divisors, whose sum is σ = 240673762560. Its totient is φ = 13735526400.

The previous prime is 58078425593. The next prime is 58078425607. The reversal of 58078425600 is 652487085.

58078425600 is a `hidden beast` number, since 5 + 8 + 0 + 7 + 84 + 2 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58078425593) and next prime (58078425607).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58078425607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 417830331 + ... + 417830469.

Almost surely, 2^58078425600 is an apocalyptic number.

58078425600 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 58078425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120336881280).

58078425600 is an abundant number, since it is smaller than the sum of its proper divisors (182595336960).

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

58078425600 is a wasteful number, since it uses less digits than its factorization.

58078425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 58078425600 in words is "fifty-eight billion, seventy-eight million, four hundred twenty-five thousand, six hundred".