58106121928704 has 720 divisors, whose sum is σ = 185148124761600. Its totient is φ = 18157840367616.

The previous prime is 58106121928703. The next prime is 58106121928727. The reversal of 58106121928704 is 40782912160185.

58106121928704 is a `hidden beast` number, since 5 + 8 + 1 + 0 + 612 + 19 + 2 + 8 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58106121928703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7337554057 + ... + 7337561975.

It is an arithmetic number, because the mean of its divisors is an integer number (257150173280).

Almost surely, 2^{58106121928704} is an apocalyptic number.

58106121928704 is a gapful number since it is divisible by the number (54) 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 58106121928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92574062380800).

58106121928704 is an abundant number, since it is smaller than the sum of its proper divisors (127042002832896).

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

58106121928704 is an frugal number, since it uses more digits than its factorization.

58106121928704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8078 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 58106121928704 in words is "fifty-eight trillion, one hundred six billion, one hundred twenty-one million, nine hundred twenty-eight thousand, seven hundred four".