58942745699040 has 768 divisors, whose sum is σ = 244381623091200. Its totient is φ = 12989149341696.

The previous prime is 58942745699023. The next prime is 58942745699153. The reversal of 58942745699040 is 4099654724985.

58942745699040 is a `hidden beast` number, since 5 + 8 + 9 + 42 + 7 + 456 + 9 + 90 + 40 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58942745699040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94916271 + ... + 95535249.

It is an arithmetic number, because the mean of its divisors is an integer number (318205238400).

Almost surely, 2^{58942745699040} 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 58942745699040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122190811545600).

58942745699040 is an abundant number, since it is smaller than the sum of its proper divisors (185438877392160).

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

58942745699040 is a wasteful number, since it uses less digits than its factorization.

58942745699040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619124 (or 619110 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 58942745699040 in words is "fifty-eight trillion, nine hundred forty-two billion, seven hundred forty-five million, six hundred ninety-nine thousand, forty".