58405090380 has 288 divisors, whose sum is σ = 205933565376. Its totient is φ = 12258699264.

The previous prime is 58405090343. The next prime is 58405090417. The reversal of 58405090380 is 8309050485.

It is an interprime number because it is at equal distance from previous prime (58405090343) and next prime (58405090417).

It is a super-2 number, since 2×58405090380² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7525462 + ... + 7533218.

It is an arithmetic number, because the mean of its divisors is an integer number (715047102).

Almost surely, 2^58405090380 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 58405090380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102966782688).

58405090380 is an abundant number, since it is smaller than the sum of its proper divisors (147528474996).

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

58405090380 is a wasteful number, since it uses less digits than its factorization.

58405090380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 58405090380 in words is "fifty-eight billion, four hundred five million, ninety thousand, three hundred eighty".