58280342400 has 1344 divisors, whose sum is σ = 255472398720. Its totient is φ = 12854661120.

The previous prime is 58280342363. The next prime is 58280342479. The reversal of 58280342400 is 424308285.

58280342400 is a `hidden beast` number, since 582 + 8 + 0 + 34 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×58280342400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 702172759 + ... + 702172841.

It is an arithmetic number, because the mean of its divisors is an integer number (190083630).

Almost surely, 2^58280342400 is an apocalyptic number.

58280342400 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 58280342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127736199360).

58280342400 is an abundant number, since it is smaller than the sum of its proper divisors (197192056320).

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

58280342400 is an equidigital number, since it uses as much as digits as its factorization.

58280342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 58280342400 in words is "fifty-eight billion, two hundred eighty million, three hundred forty-two thousand, four hundred".