58053853440 has 720 divisors, whose sum is σ = 229180311360. Its totient is φ = 13914685440.

The previous prime is 58053853423. The next prime is 58053853447. The reversal of 58053853440 is 4435835085.

58053853440 is a `hidden beast` number, since 5 + 80 + 5 + 38 + 534 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58053853447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124312087 + ... + 124312553.

It is an arithmetic number, because the mean of its divisors is an integer number (318305988).

Almost surely, 2^58053853440 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 58053853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114590155680).

58053853440 is an abundant number, since it is smaller than the sum of its proper divisors (171126457920).

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

58053853440 is a wasteful number, since it uses less digits than its factorization.

58053853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 58053853440 in words is "fifty-eight billion, fifty-three million, eight hundred fifty-three thousand, four hundred forty".