58378654309248 has 1536 divisors, whose sum is σ = 219521756160000. Its totient is φ = 15176630956032.

The previous prime is 58378654309193. The next prime is 58378654309343. The reversal of 58378654309248 is 84290345687385.

58378654309248 is a `hidden beast` number, since 5 + 8 + 3 + 7 + 8 + 65 + 430 + 92 + 48 = 666.

58378654309248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96175706961 + ... + 96175707567.

It is an arithmetic number, because the mean of its divisors is an integer number (142917810000).

Almost surely, 2^{58378654309248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58378654309248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109760878080000).

58378654309248 is an abundant number, since it is smaller than the sum of its proper divisors (161143101850752).

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

58378654309248 is an equidigital number, since it uses as much as digits as its factorization.

58378654309248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 58378654309248 in words is "fifty-eight trillion, three hundred seventy-eight billion, six hundred fifty-four million, three hundred nine thousand, two hundred forty-eight".