58138473738240 has 1040 divisors, whose sum is σ = 240009342693120. Its totient is φ = 13187007774720.

The previous prime is 58138473738229. The next prime is 58138473738251. The reversal of 58138473738240 is 4283737483185.

It is a happy number.

58138473738240 is a `hidden beast` number, since 5 + 8 + 1 + 384 + 7 + 3 + 7 + 3 + 8 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (58138473738229) and next prime (58138473738251).

It is a super-2 number, since 2×58138473738240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1521173851 + ... + 1521212069.

It is an arithmetic number, because the mean of its divisors is an integer number (230778214128).

Almost surely, 2^{58138473738240} 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 58138473738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120004671346560).

58138473738240 is an abundant number, since it is smaller than the sum of its proper divisors (181870868954880).

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

58138473738240 is a wasteful number, since it uses less digits than its factorization.

58138473738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38398 (or 38367 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 58138473738240 in words is "fifty-eight trillion, one hundred thirty-eight billion, four hundred seventy-three million, seven hundred thirty-eight thousand, two hundred forty".