58499127348480 has 1152 divisors, whose sum is σ = 259685502397440. Its totient is φ = 12140294307840.

The previous prime is 58499127348449. The next prime is 58499127348521. The reversal of 58499127348480 is 8484372199485.

It is a happy number.

58499127348480 is a `hidden beast` number, since 5 + 8 + 4 + 9 + 91 + 27 + 34 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 58499127348399 and 58499127348408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191690094 + ... + 191995026.

Almost surely, 2^{58499127348480} 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 58499127348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129842751198720).

58499127348480 is an abundant number, since it is smaller than the sum of its proper divisors (201186375048960).

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

58499127348480 is a wasteful number, since it uses less digits than its factorization.

58499127348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305044 (or 305024 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 58499127348480 in words is "fifty-eight trillion, four hundred ninety-nine billion, one hundred twenty-seven million, three hundred forty-eight thousand, four hundred eighty".