58243121664000 has 3744 divisors, whose sum is σ = 258043439871360. Its totient is φ = 11593580544000.

The previous prime is 58243121663971. The next prime is 58243121664067. The reversal of 58243121664000 is 46612134285.

It is a super-2 number, since 2×58243121664000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 241672703880 + ... + 241672704120.

It is an arithmetic number, because the mean of its divisors is an integer number (68921858940).

Almost surely, 2^{58243121664000} is an apocalyptic number.

58243121664000 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 58243121664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129021719935680).

58243121664000 is an abundant number, since it is smaller than the sum of its proper divisors (199800318207360).

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

58243121664000 is a wasteful number, since it uses less digits than its factorization.

58243121664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

Adding to 58243121664000 its reverse (46612134285), we get a palindrome (58289733798285).

The spelling of 58243121664000 in words is "fifty-eight trillion, two hundred forty-three billion, one hundred twenty-one million, six hundred sixty-four thousand".