58431920279040 has 5760 divisors, whose sum is σ = 287477670965760. Its totient is φ = 11256920801280.

The previous prime is 58431920279003. The next prime is 58431920279059. The reversal of 58431920279040 is 4097202913485.

58431920279040 is a `hidden beast` number, since 5 + 84 + 319 + 202 + 7 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 872118213087 + ... + 872118213153.

It is an arithmetic number, because the mean of its divisors is an integer number (49909317876).

Almost surely, 2^{58431920279040} 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 58431920279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143738835482880).

58431920279040 is an abundant number, since it is smaller than the sum of its proper divisors (229045750686720).

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

58431920279040 is an equidigital number, since it uses as much as digits as its factorization.

58431920279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 58431920279040 in words is "fifty-eight trillion, four hundred thirty-one billion, nine hundred twenty million, two hundred seventy-nine thousand, forty".