58425993849600 has 1296 divisors, whose sum is σ = 228428000644480. Its totient is φ = 14160730521600.

The previous prime is 58425993849551. The next prime is 58425993849631. The reversal of 58425993849600 is 694839952485.

58425993849600 is a `hidden beast` number, since 5 + 8 + 4 + 2 + 5 + 9 + 9 + 3 + 8 + 4 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25614200460 + ... + 25614202740.

Almost surely, 2^{58425993849600} is an apocalyptic number.

58425993849600 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 58425993849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114214000322240).

58425993849600 is an abundant number, since it is smaller than the sum of its proper divisors (170002006794880).

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

58425993849600 is a wasteful number, since it uses less digits than its factorization.

58425993849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 58425993849600 in words is "fifty-eight trillion, four hundred twenty-five billion, nine hundred ninety-three million, eight hundred forty-nine thousand, six hundred".