58940264448 has 312 divisors, whose sum is σ = 189714372120. Its totient is φ = 17505976320.

The previous prime is 58940264437. The next prime is 58940264479. The reversal of 58940264448 is 84446204985.

It is a happy number.

58940264448 is a `hidden beast` number, since 58 + 94 + 0 + 2 + 64 + 448 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15623000064 + 43317264384 = 124992^2 + 208128^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is a junction number, because it is equal to n+sod(n) for n = 58940264394 and 58940264403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13895608 + ... + 13899848.

It is an arithmetic number, because the mean of its divisors is an integer number (608058885).

Almost surely, 2^58940264448 is an apocalyptic number.

58940264448 is a gapful number since it is divisible by the number (58) 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 58940264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94857186060).

58940264448 is an abundant number, since it is smaller than the sum of its proper divisors (130774107672).

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

58940264448 is a wasteful number, since it uses less digits than its factorization.

58940264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 58940264448 in words is "fifty-eight billion, nine hundred forty million, two hundred sixty-four thousand, four hundred forty-eight".