58051303701120 has 384 divisors, whose sum is σ = 201029064425280. Its totient is φ = 15436342886400.

The previous prime is 58051303701113. The next prime is 58051303701217. The reversal of 58051303701120 is 2110730315085.

It is a happy number.

58051303701120 is a `hidden beast` number, since 5 + 80 + 513 + 0 + 37 + 0 + 11 + 20 = 666.

58051303701120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×58051303701120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2994332067 + ... + 2994351453.

Almost surely, 2^{58051303701120} 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 58051303701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100514532212640).

58051303701120 is an abundant number, since it is smaller than the sum of its proper divisors (142977760724160).

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

58051303701120 is a wasteful number, since it uses less digits than its factorization.

58051303701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20864 (or 20849 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 58051303701120 in words is "fifty-eight trillion, fifty-one billion, three hundred three million, seven hundred one thousand, one hundred twenty".