58128278208000 has 1920 divisors, whose sum is σ = 264124400956416. Its totient is φ = 11149221888000.

The previous prime is 58128278207969. The next prime is 58128278208079. The reversal of 58128278208000 is 80287282185.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1345322397 + ... + 1345365603.

Almost surely, 2^{58128278208000} is an apocalyptic number.

58128278208000 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 58128278208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132062200478208).

58128278208000 is an abundant number, since it is smaller than the sum of its proper divisors (205996122748416).

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

58128278208000 is a wasteful number, since it uses less digits than its factorization.

58128278208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43281 (or 43248 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 51.

The spelling of 58128278208000 in words is "fifty-eight trillion, one hundred twenty-eight billion, two hundred seventy-eight million, two hundred eight thousand".