58302720000 has 960 divisors, whose sum is σ = 247668220800. Its totient is φ = 13271040000.

The previous prime is 58302719989. The next prime is 58302720011. The reversal of 58302720000 is 2720385.

It is an interprime number because it is at equal distance from previous prime (58302719989) and next prime (58302720011).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 241919880 + ... + 241920120.

It is an arithmetic number, because the mean of its divisors is an integer number (257987730).

Almost surely, 2^58302720000 is an apocalyptic number.

58302720000 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 58302720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123834110400).

58302720000 is an abundant number, since it is smaller than the sum of its proper divisors (189365500800).

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

58302720000 is an equidigital number, since it uses as much as digits as its factorization.

58302720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 58302720000 in words is "fifty-eight billion, three hundred two million, seven hundred twenty thousand".