58776109056 has 840 divisors, whose sum is σ = 217751132480. Its totient is φ = 15479341056.

The previous prime is 58776109001. The next prime is 58776109057. The reversal of 58776109056 is 65090167785.

58776109056 is a `hidden beast` number, since 587 + 7 + 6 + 1 + 0 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×58776109056² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 58776108993 and 58776109011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58776109057) 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 55 ways as a sum of consecutive naturals, for example, 1588543470 + ... + 1588543506.

Almost surely, 2^58776109056 is an apocalyptic number.

58776109056 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 58776109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108875566240).

58776109056 is an abundant number, since it is smaller than the sum of its proper divisors (158975023424).

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

58776109056 is an frugal number, since it uses more digits than its factorization.

58776109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 58776109056 in words is "fifty-eight billion, seven hundred seventy-six million, one hundred nine thousand, fifty-six".