58153930166728 has 128 divisors (see below), whose sum is σ = 123954255210240. Its totient is φ = 25343127936000.

The previous prime is 58153930166719. The next prime is 58153930166753. The reversal of 58153930166728 is 82766103935185.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 58153930166728.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430150950 + ... + 430286122.

It is an arithmetic number, because the mean of its divisors is an integer number (968392618830).

Almost surely, 2^{58153930166728} 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 58153930166728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61977127605120).

58153930166728 is an abundant number, since it is smaller than the sum of its proper divisors (65800325043512).

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

58153930166728 is a wasteful number, since it uses less digits than its factorization.

58153930166728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137159 (or 137155 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 64.

The spelling of 58153930166728 in words is "fifty-eight trillion, one hundred fifty-three billion, nine hundred thirty million, one hundred sixty-six thousand, seven hundred twenty-eight".