58538890560 has 224 divisors, whose sum is σ = 197144640000. Its totient is φ = 14675281920.

The previous prime is 58538890559. The next prime is 58538890561. The reversal of 58538890560 is 6509883585.

It is an interprime number because it is at equal distance from previous prime (58538890559) and next prime (58538890561).

It is a super-2 number, since 2×58538890560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 58538890560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58538890561) by changing a digit.

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, 2377191 + ... + 2401689.

It is an arithmetic number, because the mean of its divisors is an integer number (880110000).

Almost surely, 2^58538890560 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 58538890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98572320000).

58538890560 is an abundant number, since it is smaller than the sum of its proper divisors (138605749440).

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

58538890560 is a wasteful number, since it uses less digits than its factorization.

58538890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24669 (or 24659 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 57.

The spelling of 58538890560 in words is "fifty-eight billion, five hundred thirty-eight million, eight hundred ninety thousand, five hundred sixty".