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58378106880 = 2113252327541
BaseRepresentation
bin110110010111100110…
…110011100000000000
312120200110201002122200
4312113212303200000
51424024243410010
642452445233200
74134443502222
oct662746634000
9176613632580
1058378106880
1122837a12825
12b392862800
13567472a412
142b7b300412
1517ba17bcc0
hexd979b3800

58378106880 has 288 divisors, whose sum is σ = 211132565280. Its totient is φ = 14890106880.

The previous prime is 58378106869. The next prime is 58378106881. The reversal of 58378106880 is 8860187385.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58378106881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2105910 + ... + 2133450.

It is an arithmetic number, because the mean of its divisors is an integer number (733099185).

Almost surely, 258378106880 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 58378106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105566282640).

58378106880 is an abundant number, since it is smaller than the sum of its proper divisors (152754458400).

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

58378106880 is a wasteful number, since it uses less digits than its factorization.

58378106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27597 (or 27574 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 58378106880 in words is "fifty-eight billion, three hundred seventy-eight million, one hundred six thousand, eight hundred eighty".