58750788290040 has 768 divisors, whose sum is σ = 238864070016000. Its totient is φ = 12166547005440.

The previous prime is 58750788290027. The next prime is 58750788290113. The reversal of 58750788290040 is 4009288705785.

58750788290040 is a `hidden beast` number, since 5 + 8 + 7 + 507 + 8 + 82 + 9 + 0 + 0 + 40 = 666.

It is a super-2 number, since 2×58750788290040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 58750788290040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11414566747 + ... + 11414571893.

It is an arithmetic number, because the mean of its divisors is an integer number (311020924500).

Almost surely, 2^{58750788290040} 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 58750788290040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119432035008000).

58750788290040 is an abundant number, since it is smaller than the sum of its proper divisors (180113281725960).

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

58750788290040 is a wasteful number, since it uses less digits than its factorization.

58750788290040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6500 (or 6493 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 58750788290040 in words is "fifty-eight trillion, seven hundred fifty billion, seven hundred eighty-eight million, two hundred ninety thousand, forty".