58240288000 has 72 divisors (see below), whose sum is σ = 145083917160. Its totient is φ = 23296102400.

The previous prime is 58240287991. The next prime is 58240288009. The reversal of 58240288000 is 88204285.

It is an interprime number because it is at equal distance from previous prime (58240287991) and next prime (58240288009).

It can be written as a sum of positive squares in 4 ways, for example, as 2294793216 + 55945494784 = 47904^2 + 236528^2 .

It is a super-2 number, since 2×58240288000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58240288009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878005 + ... + 942004.

It is an arithmetic number, because the mean of its divisors is an integer number (2015054405).

Almost surely, 2^58240288000 is an apocalyptic number.

58240288000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58240288000 is an abundant number, since it is smaller than the sum of its proper divisors (86843629160).

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

58240288000 is an equidigital number, since it uses as much as digits as its factorization.

58240288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820040 (or 1820016 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The spelling of 58240288000 in words is "fifty-eight billion, two hundred forty million, two hundred eighty-eight thousand".