58286407680 has 532 divisors, whose sum is σ = 213172997052. Its totient is φ = 15288238080.

The previous prime is 58286407657. The next prime is 58286407681. The reversal of 58286407680 is 8670468285.

58286407680 is a `hidden beast` number, since 5 + 82 + 86 + 407 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9364045824 + 48922361856 = 96768^2 + 221184^2 .

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (58286407681) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 955514850 + ... + 955514910.

Almost surely, 2^58286407680 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 58286407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106586498526).

58286407680 is an abundant number, since it is smaller than the sum of its proper divisors (154886589372).

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

58286407680 is an frugal number, since it uses more digits than its factorization.

58286407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 58286407680 in words is "fifty-eight billion, two hundred eighty-six million, four hundred seven thousand, six hundred eighty".