58247834400 has 1728 divisors, whose sum is σ = 270142709760. Its totient is φ = 11844403200.

The previous prime is 58247834389. The next prime is 58247834401. The reversal of 58247834400 is 443874285.

It is a happy number.

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 (58247834401) 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, 1354600779 + ... + 1354600821.

Almost surely, 2^58247834400 is an apocalyptic number.

58247834400 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 58247834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135071354880).

58247834400 is an abundant number, since it is smaller than the sum of its proper divisors (211894875360).

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

58247834400 is a wasteful number, since it uses less digits than its factorization.

58247834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 58247834400 in words is "fifty-eight billion, two hundred forty-seven million, eight hundred thirty-four thousand, four hundred".