58406495616 has 192 divisors, whose sum is σ = 192293337600. Its totient is φ = 16669117440.

The previous prime is 58406495599. The next prime is 58406495627. The reversal of 58406495616 is 61659460485.

58406495616 is a `hidden beast` number, since 58 + 40 + 6 + 495 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×58406495616² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8375011 + ... + 8381981.

It is an arithmetic number, because the mean of its divisors is an integer number (1001527800).

Almost surely, 2^58406495616 is an apocalyptic number.

58406495616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58406495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96146668800).

58406495616 is an abundant number, since it is smaller than the sum of its proper divisors (133886841984).

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

58406495616 is a wasteful number, since it uses less digits than its factorization.

58406495616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 58406495616 in words is "fifty-eight billion, four hundred six million, four hundred ninety-five thousand, six hundred sixteen".