58355198600400 has 1440 divisors, whose sum is σ = 239395013676000. Its totient is φ = 13024941834240.

The previous prime is 58355198600359. The next prime is 58355198600407. The reversal of 58355198600400 is 400689155385.

58355198600400 is a `hidden beast` number, since 5 + 8 + 3 + 5 + 519 + 86 + 0 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 55456855788096 + 2898342812304 = 7446936^2 + 1702452^2 .

It is a super-2 number, since 2×58355198600400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58355198600407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11743849116 + ... + 11743854084.

It is an arithmetic number, because the mean of its divisors is an integer number (166246537275).

Almost surely, 2^{58355198600400} is an apocalyptic number.

58355198600400 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 58355198600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119697506838000).

58355198600400 is an abundant number, since it is smaller than the sum of its proper divisors (181039815075600).

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

58355198600400 is a wasteful number, since it uses less digits than its factorization.

58355198600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 58355198600400 in words is "fifty-eight trillion, three hundred fifty-five billion, one hundred ninety-eight million, six hundred thousand, four hundred".