58481429760 has 576 divisors, whose sum is σ = 226391477760. Its totient is φ = 14386470912.

The previous prime is 58481429687. The next prime is 58481429761. The reversal of 58481429760 is 6792418485.

It is a happy number.

58481429760 is a `hidden beast` number, since 5 + 84 + 81 + 429 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 58481429697 and 58481429706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58481429761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36390877 + ... + 36392483.

It is an arithmetic number, because the mean of its divisors is an integer number (393040760).

Almost surely, 2^58481429760 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 58481429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113195738880).

58481429760 is an abundant number, since it is smaller than the sum of its proper divisors (167910048000).

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

58481429760 is an equidigital number, since it uses as much as digits as its factorization.

58481429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 58481429760 in words is "fifty-eight billion, four hundred eighty-one million, four hundred twenty-nine thousand, seven hundred sixty".