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58342394880 = 210365721129
BaseRepresentation
bin110110010101011110…
…100100110000000000
312120120222111202000000
4312111132210300000
51423441123114010
642445132000000
74133531113500
oct662536446000
9176528452000
1058342394880
1122819840880
12b382900000
13566a205563
142b76685a00
1517b6e757c0
hexd957a4c00

58342394880 has 1848 divisors, whose sum is σ = 275465117520. Its totient is φ = 11705057280.

The previous prime is 58342394867. The next prime is 58342394923. The reversal of 58342394880 is 8849324385.

58342394880 is a `hidden beast` number, since 58 + 3 + 423 + 94 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1848).

It is a super-5 number, since 5×583423948805 (a number of 55 digits) contains 55555 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2011806706 + ... + 2011806734.

Almost surely, 258342394880 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 58342394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137732558760).

58342394880 is an abundant number, since it is smaller than the sum of its proper divisors (217122722640).

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

58342394880 is a wasteful number, since it uses less digits than its factorization.

58342394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 58342394880 in words is "fifty-eight billion, three hundred forty-two million, three hundred ninety-four thousand, eight hundred eighty".