58472735293440 has 3840 divisors, whose sum is σ = 252125927907840. Its totient is φ = 12719814082560.

The previous prime is 58472735293439. The next prime is 58472735293507. The reversal of 58472735293440 is 4439253727485.

It is a happy number.

58472735293440 is a `hidden beast` number, since 5 + 8 + 4 + 7 + 2 + 73 + 529 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 958569431010 + ... + 958569431070.

It is an arithmetic number, because the mean of its divisors is an integer number (65657793726).

Almost surely, 2^{58472735293440} 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 58472735293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126062963953920).

58472735293440 is an abundant number, since it is smaller than the sum of its proper divisors (193653192614400).

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

58472735293440 is a wasteful number, since it uses less digits than its factorization.

58472735293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 58472735293440 in words is "fifty-eight trillion, four hundred seventy-two billion, seven hundred thirty-five million, two hundred ninety-three thousand, four hundred forty".