58434417090 has 512 divisors, whose sum is σ = 195163914240. Its totient is φ = 12150217728.

The previous prime is 58434417077. The next prime is 58434417131. The reversal of 58434417090 is 9071443485.

58434417090 is a `hidden beast` number, since 58 + 4 + 3 + 441 + 70 + 90 = 666.

It is a super-2 number, since 2×58434417090² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75593944 + ... + 75594716.

It is an arithmetic number, because the mean of its divisors is an integer number (381179520).

Almost surely, 2^58434417090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58434417090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97581957120).

58434417090 is an abundant number, since it is smaller than the sum of its proper divisors (136729497150).

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

58434417090 is a wasteful number, since it uses less digits than its factorization.

58434417090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 58434417090 in words is "fifty-eight billion, four hundred thirty-four million, four hundred seventeen thousand, ninety".