58753240920 has 256 divisors, whose sum is σ = 218618611200. Its totient is φ = 13911851520.

The previous prime is 58753240919. The next prime is 58753240927. The reversal of 58753240920 is 2904235785.

58753240920 is a `hidden beast` number, since 58 + 7 + 532 + 40 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58753240927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 453334 + ... + 568346.

It is an arithmetic number, because the mean of its divisors is an integer number (853978950).

Almost surely, 2^58753240920 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 58753240920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109309305600).

58753240920 is an abundant number, since it is smaller than the sum of its proper divisors (159865370280).

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

58753240920 is a wasteful number, since it uses less digits than its factorization.

58753240920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115087 (or 115077 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 58753240920 in words is "fifty-eight billion, seven hundred fifty-three million, two hundred forty thousand, nine hundred twenty".