58420776960 has 1456 divisors, whose sum is σ = 264715296384. Its totient is φ = 12039487488.

The previous prime is 58420776937. The next prime is 58420777007. The reversal of 58420776960 is 6967702485.

It is a tau number, because it is divible by the number of its divisors (1456).

It is a super-2 number, since 2×58420776960² (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 = 58420776897 and 58420776906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1358622699 + ... + 1358622741.

Almost surely, 2^58420776960 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 58420776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132357648192).

58420776960 is an abundant number, since it is smaller than the sum of its proper divisors (206294519424).

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

58420776960 is an equidigital number, since it uses as much as digits as its factorization.

58420776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 58420776960 in words is "fifty-eight billion, four hundred twenty million, seven hundred seventy-six thousand, nine hundred sixty".