58378412400 has 480 divisors, whose sum is σ = 233813606400. Its totient is φ = 12096076800.

The previous prime is 58378412359. The next prime is 58378412423. The reversal of 58378412400 is 421487385.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44258941 + ... + 44260259.

It is an arithmetic number, because the mean of its divisors is an integer number (487111680).

Almost surely, 2^58378412400 is an apocalyptic number.

58378412400 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 58378412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116906803200).

58378412400 is an abundant number, since it is smaller than the sum of its proper divisors (175435194000).

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

58378412400 is a wasteful number, since it uses less digits than its factorization.

58378412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

Adding to 58378412400 its reverse (421487385), we get a palindrome (58799899785).

The spelling of 58378412400 in words is "fifty-eight billion, three hundred seventy-eight million, four hundred twelve thousand, four hundred".