58112640000 has 1100 divisors, whose sum is σ = 232132256400. Its totient is φ = 14432256000.

The previous prime is 58112639993. The next prime is 58112640007. The reversal of 58112640000 is 4621185.

58112640000 is a `hidden beast` number, since 5 + 8 + 1 + 12 + 640 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58112639993) and next prime (58112640007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (58112640007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 984959971 + ... + 984960029.

It is an arithmetic number, because the mean of its divisors is an integer number (211029324).

Almost surely, 2^58112640000 is an apocalyptic number.

58112640000 is a gapful number since it is divisible by the number (50) 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 58112640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116066128200).

58112640000 is an abundant number, since it is smaller than the sum of its proper divisors (174019616400).

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

58112640000 is an equidigital number, since it uses as much as digits as its factorization.

58112640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

It can be divided in two parts, 581126 and 40000, that added together give a palindrome (621126).

The spelling of 58112640000 in words is "fifty-eight billion, one hundred twelve million, six hundred forty thousand".