85730588503758 has 192 divisors, whose sum is σ = 210293070796224. Its totient is φ = 25012281600000.

The previous prime is 85730588503739. The next prime is 85730588503789.

85730588503758 is a `hidden beast` number, since 8 + 5 + 7 + 3 + 0 + 588 + 5 + 0 + 37 + 5 + 8 = 666.

85730588503758 is nontrivially palindromic in base 10.

85730588503758 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1332574560 + ... + 1332638892.

It is an arithmetic number, because the mean of its divisors is an integer number (1095276410397).

Almost surely, 2^{85730588503758} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85730588503758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105146535398112).

85730588503758 is an abundant number, since it is smaller than the sum of its proper divisors (124562482292466).

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

85730588503758 is a wasteful number, since it uses less digits than its factorization.

85730588503758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66291 (or 66288 counting only the distinct ones).

The product of its (nonzero) digits is 1128960000, while the sum is 72.

The spelling of 85730588503758 in words is "eighty-five trillion, seven hundred thirty billion, five hundred eighty-eight million, five hundred three thousand, seven hundred fifty-eight".