58263440640 has 288 divisors, whose sum is σ = 195233068800. Its totient is φ = 14787870720.

The previous prime is 58263440639. The next prime is 58263440743. The reversal of 58263440640 is 4604436285.

It is a junction number, because it is equal to n+sod(n) for n = 58263440592 and 58263440601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7902876 + ... + 7910244.

It is an arithmetic number, because the mean of its divisors is an integer number (677892600).

Almost surely, 2^58263440640 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 58263440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97616534400).

58263440640 is an abundant number, since it is smaller than the sum of its proper divisors (136969628160).

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

58263440640 is a wasteful number, since it uses less digits than its factorization.

58263440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493 (or 7479 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 58263440640 in words is "fifty-eight billion, two hundred sixty-three million, four hundred forty thousand, six hundred forty".