58551250464 has 336 divisors, whose sum is σ = 198261036288. Its totient is φ = 16666269696.

The previous prime is 58551250447. The next prime is 58551250469. The reversal of 58551250464 is 46405215585.

58551250464 is a `hidden beast` number, since 5 + 8 + 551 + 2 + 50 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58551250469) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 59929144 + ... + 59930120.

It is an arithmetic number, because the mean of its divisors is an integer number (590062608).

Almost surely, 2^58551250464 is an apocalyptic number.

58551250464 is a gapful number since it is divisible by the number (54) 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 58551250464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99130518144).

58551250464 is an abundant number, since it is smaller than the sum of its proper divisors (139709785824).

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

58551250464 is an equidigital number, since it uses as much as digits as its factorization.

58551250464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 58551250464 in words is "fifty-eight billion, five hundred fifty-one million, two hundred fifty thousand, four hundred sixty-four".